Free Printable Extra Statistics Practice for the SAT

1.

The normal curve is symmetrical about the mean.

a)

True

b)

False

2.

This data is normally distributed. What percent of the data is in the shaded region?

a)

50%

b)

68%

c)

95%

d)

99.7%

3.

This data is normally distributed. What percent of the data is in the shaded regions?

a)

5%

b)

95%

c)

2.5%

d)

50%

4.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

32%

c)

16%

d)

50%

5.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

95%

c)

99.7%

d)

50%

6.

If I tell you that you scored at the 55th percentile on your final exam, you would know:

a)

55% of the class scored the same or worse than you did

b)

You earned a 55% on the exam

c)

You failed the exam

d)

45% of the class scored worse than you did

7.

What percentage of data falls within 1 standard deviation?

a)

25%

b)

68%

c)

95%

d)

99.7%

8.

How much of the data falls within 3 standard deviations?

a)

25%

b)

68%

c)

95%

d)

99.7%

9.

What is the the total area under the standard normal distribution curve?

a)

100

b)

25

c)

.5

d)

1

10.

1. Which best describes the shaded part of this normal distribution graph?

a)

All data that is one or higher.

b)

All data that is one or more standard deviations above the mean.

c)

All data that is between 1 and 3.

d)

All data that is above the mean.

11.

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

a)

40

b)

35

c)

45

d)

50

12.

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

a)

20

b)

15

c)

40

d)

30

13.

35 is

a)

mean

b)

variance

c)

standard deviation

d)

range

14.

What's the standard deviation?

a)

150

b)

60

c)

240

d)

30

15.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are above 82?

a)

34%

b)

16%

c)

81.5%

d)

2.5%

16.

Given a mean of 75 and a standard deviation of 7, what percentage of scores are between 54 and 96?

a)

13.5%

b)

99.7%

c)

95%

d)

2.15%

17.

If the average annual precipitation in Phoenix is 29 with a standard deviation of 3, what is the "normal" range of precipitation (68%)?

a)

26-32

b)

3-29

c)

26-29

d)

39-32

18.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the percentage of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

19.

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

a)

68%

b)

34%

c)

16%

d)

2.5%

20.

A line up for tickets to a local concert had an average (mean) waiting time of 20 minutes with a standard deviation of 4 minutes. If 2000 ticket buyers were in line, how many of them would expect to wait for less than 16 minutes?

a)

1750

b)

30

c)

320

d)

100

21.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

22.

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

a)

20

b)

15

c)

40

d)

30

23.

If this is the graph of data normally distributed with a mean of 30 and a standard deviation of 5, what label (number) is written at the blue circle?

a)

40

b)

35

c)

45

d)

50

24.

The normal curve is symmetrical about the mean.

a)

True

b)

False

25.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

95%

c)

99.8%

d)

50%

26.

This data is normally distributed. What percent of the data is in the shaded region?

a)

68%

b)

32%

c)

16%

d)

50%

27.

This data is normally distributed. What percent of the data is in the shaded regions?

a)

5%

b)

95%

c)

2.5%

d)

50%

28.

According to the empirical rule, what percentage of data falls within 1 standard deviation?

a)

25%

b)

68%

c)

95%

d)

99.7%

29.

According to the empirical rule, how much of the data falls within 3 standard deviations?

a)

25%

b)

68%

c)

95%

d)

99.7%

30.

How is the graph distributed?

a)

Normally

b)

Skewed to the Left

c)

Skewed to the Right

d)

Uniform

31.

Which is a normal distribution graph?

a)

b)

c)

d)

32.

35 is

a)

mean

b)

variance

c)

standard deviation

d)

1st quartile

33.

What is the the total area under the standard normal distribution curve?

a)

100

b)

25

c)

.5

d)

1

34.

1. Which best describes the shaded part of this normal distribution graph?

a)

All data that is one or higher.

b)

All data that is one or more standard deviations above the mean.

c)

All data that is between 1 and 3.

d)

All data that is above the mean.

35.

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

a)

26-32

b)

3-29

c)

26-29

d)

39-32

36.

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the percentage of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

37.

The number of boys in a class is 1B .

a)

discrete data

b)

continuous data

38.

The number of cars in the parking lot.

a)

discrete data

b)

continuous data

39.

Time taken to complete homework.

a)

discrete data

b)

continuous data

40.

The weight of an elephant.

a)

discrete data

b)

continuous data

41.

The speed of cars.

a)

discrete data

b)

continuous data

42.

The average temperature of the last month.

a)

discrete data

b)

continuous data

43.

What are the three measures of central tendency?

a)

Mean, Mode, Measure

b)

Mean, Mode, Median

c)

Standard deviation, mean, mode

d)

Mode, Median, Average

44.

What is one thing that standard deviation means?

a)

The total of the numbers in the graph

b)

The shape of the graph

c)

Measure of variability

d)

The lowest plus largest numbers averaged

45.

On the graph from points -1 to 1, what is the percentage?

a)

99.72%

b)

34.13%

c)

95.44%

d)

68.26%

46.

On the graph from -3 to 3, what is the percentage?

a)

99.72%

b)

98.83%

c)

68.26%

d)

34.13%

47.

On the graph from -2 to 2, what is the percentage?

a)

68.26%

b)

99.72%

c)

95.44%

d)

34.13%

48.

For normal distribution what type of graphs do we use?

a)

b)

c)

d)

49.

What does each rectangle in a normal distribution graph mean?

a)

68%, 95%, 99%

b)

the x-axis values

c)

The average number that is associated with the particular values

d)

the number of observations associated with a particular value

50.

This is an example of what?

a)

histogam

b)

bar graph

c)

right skewed graph

d)

left skewed graph

51.

Which is not a way to test distributions for normality?

a)

Kolmogorov-Smirnov

b)

Analysis of variance

c)

Kurtosis

d)

skew

52.

What are the two sides of a histogram?

a)

x axis, y axis

b)

mode, median

c)

y axis, z axis

d)

width, height

53.

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What percentage ratings can be expected to be between 200 and 275?

a)

43.31%

b)

56.71%

c)

38.61%

d)

29.87%

54.

The lengths of human pregnancies can be described by a Normal model with a mean of 268 days and a standard deviation of 15 days. What percentage of pregnancies will last at least 300 days?

a)

1.64%

b)

98.36%

c)

12.34%

d)

56.19%

55.

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what values should border the middle 50% of the model?

a)

44 and 52 inches

b)

42 and 54 inches

c)

40 and 50 inches

d)

40 and 60 inches

56.

For a recent English exam, the mean was 73 points and the standard deviation was 9.2 points. Find the percent of scores over 85.

a)

9.61%

b)

90.39%

c)

28.51%

d)

75.31%

57.

A standardized test has scores that can be described by a Normal model with a mean score was 100 points and a standard deviation of 10 points. What score is at the 25th percentile?

a)

93.26

b)

106.74

c)

90.32

d)

80

58.

A town has a speed limit of 45 mph. If the speeds of cars traveling in the town can be described by a Normal model with a mean of 48 mph and a standard deviation of 3.5 mph, what percent of cars are exceeding the speed limit?

a)

80.43%

b)

19.56%

c)

23.86%

d)

75%

59.

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what percent of snow fall amounts will be between 40 and 50?

a)

53.93%

b)

46.07%

c)

37.19%

d)

72.34%

60.

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What is the rating which cuts off the bottom 20%?

a)

157.92

b)

242.08

c)

189.34

d)

190.60

61.

6.5 CLT: Red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382. What percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?

a)

82.3%

b)

77.8%

c)

72.6%

d)

68%

62.

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 17.5% .

a)

69.98 in

b)

71.18 in

c)

72.40 in

d)

73.01 in

63.

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?

a)

0.67 inch

b)

263 inches

c)

272.44 inches

d)

277.25 inches

64.

Suppose the amount of soda in a can is normally distributed; the mean is 16 oz and standard deviation is 0.4 oz. How much soda is in the heaviest 3% of cans?

a)

$\approx16.97\ oz$

b)

$\approx16.75\ oz$

c)

$\approx16.45\ oz$

d)

$\approx16.30\ oz$

65.

Alex's baby was in the 96th percentile for height when she was born. Given σ = 2 inches, and µ = 20 inches, how long was Alex's baby when she was born?

a)

23.5 inches

b)

20.15 inches

c)

17.45 inches

d)

37 inches

66.

Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).

Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.

a)

165

b)

166

c)

170

d)

162

67.

Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).

Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.

a)

165

b)

166

c)

170

d)

162

68.

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What percentage ratings can be expected to be between 200 and 275?

a)

43.31%

b)

56.71%

c)

38.61%

d)

29.87%

69.

The lengths of human pregnancies can be described by a Normal model with a mean of 268 days and a standard deviation of 15 days. What percentage of pregnancies will last at least 300 days?

a)

1.64%

b)

98.36%

c)

12.34%

d)

56.19%

70.

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what values should border the middle 50% of the model?

a)

44 and 52 inches

b)

42 and 54 inches

c)

40 and 50 inches

d)

40 and 60 inches

71.

For a recent English exam, the mean was 73 points and the standard deviation was 9.2 points. Find the percent of scores over 85.

a)

9.61%

b)

90.39%

c)

28.51%

d)

75.31%

72.

A standardized test has scores that can be described by a Normal model with a mean score was 100 points and a standard deviation of 10 points. What score is at the 25th percentile?

a)

93.26

b)

106.74

c)

90.32

d)

80

73.

A town has a speed limit of 45 mph. If the speeds of cars traveling in the town can be described by a Normal model with a mean of 48 mph and a standard deviation of 3.5 mph, what percent of cars are exceeding the speed limit?

a)

80.43%

b)

19.56%

c)

23.86%

d)

75%

74.

A town's average snowfall is 48 inches per year with a standard deviation of 6 inches. Using a Normal model, what percent of snow fall amounts will be between 40 and 50?

a)

53.93%

b)

46.07%

c)

37.19%

d)

72.34%

75.

A bank's loan officer rates applicants for credit. The ratings can be described by a Normal model with a mean of 200 and a standard deviation of 50. What is the rating which cuts off the bottom 20%?

a)

157.92

b)

242.08

c)

189.34

d)

190.60

76.

6.5 CLT: Red blood cell counts of women are normally distributed with a mean of 4.577 and a standard deviation of 0.382. What percentage of women have red blood cell counts in the normal range from 4.2 to 5.4?

a)

82.3%

b)

77.8%

c)

72.6%

d)

68%

77.

In a survey of men in the United States (ages 20-29), the mean height was 69.6 inches with a standard deviation of 3.0 inches. Find the minimum height in the top 17.5% .

a)

69.98 in

b)

71.18 in

c)

72.40 in

d)

73.01 in

78.

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?

a)

0.67 inch

b)

263 inches

c)

272.44 inches

d)

277.25 inches

79.

Suppose the amount of soda in a can is normally distributed; the mean is 16 oz and standard deviation is 0.4 oz. How much soda is in the heaviest 3% of cans?

a)

$\approx16.97\ oz$

b)

$\approx16.75\ oz$

c)

$\approx16.45\ oz$

d)

$\approx16.30\ oz$

80.

Alex's baby was in the 96th percentile for height when she was born. Given σ = 2 inches, and µ = 20 inches, how long was Alex's baby when she was born?

a)

23.5 inches

b)

20.15 inches

c)

17.45 inches

d)

37 inches

81.

Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).

Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.

a)

165

b)

166

c)

170

d)

162

82.

Snobby University accepts only those graduate students who score in the top 5% of the GRE (Graduate Requirements Exam).

Given that µ = 151.3 and σ = 8.7, what is the lowest score you can get and still be accepted to SU? Round to the nearest whole number.

a)

165

b)

166

c)

170

d)

162

83.

Between what two standard deviations of a normal distribution contain 68% of the data?

a)

one below and one above

b)

two below and two above

c)

two below and zero

d)

zero and two above

84.

Find the value for
P(Z > 1.78)

a)

0.0376

b)

0.0375

c)

0.0446

d)

0.2420

85.

Find the value for
P(Z < -0.39)

a)

0.3498

b)

0.3483

c)

0.3501

d)

0.6502

86.

Find the value for
P(Z > 2.46)

a)

0.00714

b)

0.99305

c)

0.00695

d)

0.99286

87.

Find the value for
P( 0 < Z < 0.62)

a)

0.7676

b)

0.2324

88.

Find the value for
P( -2.01 < Z < 0.88)

a)

0.7884

b)

0.2116

c)

0.0222

d)

0.1984

89.

Find the z-score such that 30% of the standard normal curve lies to the left of z.

a)

-1.88

b)

0.52

c)

-0.52

d)

1.88

90.

Find the z-score such that 44% of the standard normal curve lies to the right of z.

a)

-0.15

b)

-1.71

c)

1.71

d)

0.15

91.

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?

a)

1

b)

1.43

c)

-1.43

d)

11.5

92.

The average waist size for teenage males is 29 inches with a standard deviation of 2 inches.
If waist sizes are normally distributed, determine the z-score of a teenage male with a 33 inch waist.

a)

2

b)

1

c)

-2

d)

-1

93.

μ = 350 , σ = 20 , find P(X > 400)

a)

0.0062

b)

0.9938

c)

0.4013

d)

0.5987

94.

Fernando is 60 inches tall. The average height for his age and gender is 68 with a standard deviation of 10 inches. What percent of his peers are shorter than him?

a)

46.81%

b)

8%

c)

78.81%

d)

21.19%

95.

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?

a)

81.85%

b)

47.5%

c)

68%

d)

95%

96.

The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviation of 14 inches.
Suppose a male long jumper's jump ranked in the 75th percentile. How long was his jump?

a)

0.67 inch

b)

263 inches

c)

272.44 inches

d)

277.25 inches

97.

The scoring of modern IQ is such that Intelligence Quotients (IQs) have a normal distribution of μ= 100 and 𝞂 = 15.

Mensa International is a non-profit organization that accepts only people with IQ score within the top 2%. What level of IQ qualifies one to be a member of Mensa?

a)

115

b)

130.75

c)

145

d)

120

98.

What does the mean tell you about the data set

a)

It tells you how angry you are with someone

b)

It tells you the number which occurs the most

c)

It tells you the difference between the highest and lowest number in data set

d)

It gives you the average for the data you are looking for

99.

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

a)

28,000 km and 32,000 km.

b)

24,000 km and 34,000 km.

c)

26,000 km and 34,000 km.

d)

27,000 km and 31,000 km.

100.

What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

7.83

b)

10.1

c)

7.26

d)

9

101.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

102.

68% of fireman worked between what years?

a)

Between 5 and 15 years

b)

Between 10 and 30 Years

c)

Between 15 and 25 years

d)

Between 17 and 23 years

103.

Approximately 95% of women had their first child between the ages of:

a)

11.1 and 43.5 years

b)

16.5 and 38.1 years

c)

21.9 and 32.7 years

d)

21.9 and 38.1 years

104.

The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches.
What percent of men are taller than 74 inches?

a)

2.5%

b)

5%

c)

16%

d)

1%

105.

The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. Between what heights do the middle 95% of men fall?

a)

66.5-71.5

b)

64-74

c)

61.5-76.5

d)

65-73

106.

The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. What percent of men are between 64 and 66.5 inches tall?

a)

50%

b)

2.5%

c)

13.5%

d)

34%

107.

Between what two standard deviations of a normal distribution contain 68% of the data?

a)

one below and one above

b)

two below and two above

c)

two below and zero

d)

zero and two above

108.

1. Which best describes the shaded part of this normal distribution graph?

a)

All data that is one or higher.

b)

All data that is one or more standard deviations above the mean.

c)

All data that is between 1 and 3.

d)

All data that is above the mean.

109.

Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?

a)

193

b)

127

c)

60

d)

66

110.

Find the mean of these numbers:
5,11,2,12,4,2

a)

4.1

b)

6

c)

4.5

d)

4

111.

What is the mean?

a)

# happening the most

b)

the number in the middle

c)

biggest-smallest

d)

the average

112.

What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

113.

What is the Normal Range of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

a)

26-32

b)

3-29

c)

26-29

d)

39-32

114.

What is the Normal Range of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

a)

26-32

b)

3-29

c)

26-29

d)

39-32

115.

Dr. Dre is a dentist. He needs to report on the average (mean) number of cavities that his patients have.
1, 0, 1, 5, 6, 3, 4

a)

3.33

b)

2.85

c)

3

d)

3.5

116.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

117.

What is the the total area under the standard normal distribution curve?

a)

100

b)

25

c)

.5

d)

1

118.

The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have less than 5 accidents?

a)

0.6915

b)

0.1762

c)

0.8238

d)

-0.93

119.

The 40 yards sprint times for a soccer team are found to be normally distributed with a mean of 5.2 seconds and a standard deviation of 0.3 seconds. What is the z-score for a player who runs a time of 5.6 seconds?

a)

-1.33

b)

1.33

c)

0.88

d)

1.02

120.

Between what two standard deviations of a normal distribution contain 68% of the data?

a)

one below and one above

b)

two below and two above

c)

two below and zero

d)

zero and two above

121.

The average waist size for teenage males is 29 inches with a standard deviation of 1.4 inch.
If waist sizes are normally distributed, estimate the proportion of teenagers who will have waist sizes greater than 31 inches?

a)

92.4%

b)

10.5%

c)

16%

d)

7.6%

122.

The z-score represents.....

a)

the amount of standard deviations a data value is above or below the mean.

b)

the percentile the data value is above or below the mean.

c)

the amount of standard deviations a data value is above or below the median.

d)

the percent the data value is above or below the mean.

123.

Which is NOT true about the standard normal distribution?

a)

It is bell-shaped.

b)

It is unimodal.

c)

The mean is 0 and the standard deviation is 1.

d)

It is asymmetrical.

124.

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days.

About what percent of the products last between 12 and 15 days?

a)

68%

b)

34%

c)

16%

d)

2.5%

125.

If I tell you that you scored at the 55th percentile on your final exam, you would know:

a)

55% of the class scored the same or worse than you did

b)

You earned a 55% on the exam

c)

You failed the exam

d)

45% of the class scored worse than you did

126.

Find the z-score for 48 given a mean of 50 and a standard deviation of 5.

a)

2.5

b)

-2.5

c)

-0.4

d)

0.4

127.

Find the area under the standard normal curve that lies to the left of z=2.1.

a)

1.79%

b)

-1.79%

c)

98.21%

d)

0.98%

128.

Find the area under the standard normal curve that lies to the right of z=-0.67.

a)

63.42%

b)

74.86%

c)

25.14%

d)

50%

129.

Test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored above 62?

a)

1.39%

b)

45.34%

c)

98.41%

d)

22.34%

130.

A continuous random variable is normally distributed with mean 145 and standard deviation is 5. Find P(136<X<140).

a)

0.8054

b)

0.8772

c)

0.1228

d)

0.1587

131.

The width of the curve is determined by the _____________________.

a)

Mean

b)

Variation

c)

Standard Deviation

d)

Standard Normal Curve

132.

A standard normal curve is a normal probability distribution that has a standard deviation of ____ and a mean of ____.

a)

1, 0

b)

0, 1

c)

0, 0

d)

1, 1

133.

According to the empirical rule, how much of the data falls within 3 standard deviations?

a)

25%

b)

68%

c)

95%

d)

99.7%

134.

1. Which best describes the shaded part of this normal distribution graph?

a)

All data that is one or higher.

b)

All data that is one or more standard deviations above the mean.

c)

All data that is between 1 and 3.

d)

All data that is above the mean.

135.

What is the Normal Range (68%) of the annual precipitation for Phoenix, if the average is 29 with a standard deviation of 3?

a)

26-32

b)

3-29

c)

26-29

d)

39-32

136.

Use the following information and the Empirical Rule to estimate the answer.

The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4.

Find the percentage of golfers that are between 30 and 46 years old.

a)

68%

b)

94%

c)

95%

d)

99.7%

137.

The mean GPA of students in a course at UCDavis is 3.2 with a standard deviation of 0.3. What percent of students in the course have a GPA between 2.9 and 3.8?

a)

81.5%

b)

47.5%

c)

68%

d)

95%

138.

The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.

a)

28,000 km and 32,000 km.

b)

24,000 km and 34,000 km.

c)

26,000 km and 34,000 km.

d)

27,000 km and 31,000 km.

139.

This data is normally distributed. What percent of the data is in the shaded region?

a)

50%

b)

68%

c)

95%

d)

99.7%

140.

35 is...?

a)

standard deviation

b)

mean

c)

variance

141.

Joanne's Z-score is -1.5. What does this mean?

a)

She didn't take the test yet.

b)

She scored 1.5 standard deviations below the mean.

c)

She scored 1.5 standard deviations above the mean.

d)

She did better than most people.

142.

This data is normally distributed. What percent of the data is in the shaded regions?

a)

0.15%

b)

2.35%

c)

5%

143.

Which one is CORRECT?

a)

the bigger the Z-score, the data is closed to the mean

b)

the bigger the Z-score, then the more extreme the data will be

c)

the bigger the Z-score, the more usual is the data

144.

So if Tina's Z-score is 2.0 and Paula's Z-score is 1.09,

who performed better?

a)

Tina's performance is farther away from and above the mean, so she did better.

b)

Paula's score is closer to the mean so she did better.

c)

They both did the same.

145.

If Gonzalo's score is 87, the class mean is 82, and the s = 4, what is Gonzalo's z-score?

a)

-1.25

b)

+1.25

c)

+1.20

d)

+1.02

146.

If a density curve is symmetrical, then...

a)

There is no way to know the relationship between the mean and the median

b)

The mean should be less than the median

c)

The mean should be greater than the median

d)

The mean is generally equal to the median

147.

What is the total area under the normal curve in a standard normal distribution?

a)

1

b)

2

c)

3

d)

4

148.

For the density curve shown, which statement is true?

a)

The density curve is Normal.

b)

The density curve is skewed right.

c)

At the mean, the height of the curve is 1.

d)

The density curve is symmetric

e)

None of the above is correct.

149.

Two measures of center are marked on the density curve shown. Which of the following is correct?

a)

The median is at the yellow line and the mean is at the red line.

b)

The median is at the red line and the mean is at the yellow line.

c)

The mode is at the red line and the median is at the yellow line.

d)

The mode is at the yellow line and the median is at the red line.

e)

.

The mode is at the red line and the mean is at the yellow line.

150.

mean = median

a)

skewed left

b)

skewed right

c)

symmetrical

151.

the mean is less than the median

a)

skewed left

b)

skewed right

c)

symmetrical

152.

Regardless of the shape of a density curve, the total area under the curve is always...

a)

0

b)

1

c)

100

d)

0.5

153.

What does a z-score tell you?

a)

The range of the data

b)

The mean of the data

c)

The standard deviation of the data

d)

How many standard deviations a data value is from the mean

154.

What does a positive z-score indicate?

a)

The data value is equal to the mean

b)

The data value is below the mean

c)

The data value is within one standard deviation of the mean

d)

The data value is above the mean

155.

How is the z-score calculated?

a)

By adding the mean to the data value

b)

By subtracting the mean from the data value and dividing by the standard deviation

c)

By multiplying the mean with the data value

d)

By dividing the data value by the standard deviation

156.

What does a negative z-score indicate?

a)

The data value is equal to the mean

b)

The data value is above the mean

c)

The data value is within one standard deviation of the mean

d)

The data value is below the mean

157.

What shape is a normal distribution curve?

a)

Half curve

b)

Round curve

c)

Bell curve

d)

Square curve

158.

Which interval shows 95% of the data given a mean of 15 and a standard deviation of 3?

a)

9 to 21

b)

12 to 18

c)

6 to 24

d)

13 to 16

159.

Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score between 68 and 82

a)

11

b)

2

c)

340

d)

498

160.

Given a mean of 75 and a standard deviation of 7, how many students out of 500 would score higher than 68?

a)

11

b)

12

c)

420

d)

250

Extra Statistics Practice for the SAT

Total questions: 160

Worksheet time: 11hrs 37mins

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