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WorksheetsStatistics Semester 2 Review
Total questions: 60
Worksheet time: 2hrs 3mins
Name
Class
Date
1.
At Dominique's Donuts the number of donut holes in a bag can vary. Help Dominique find the mode.
12,10,10,10,13,12,11,13,10
12,10,10,10,13,12,11,13,10
a)
13
b)
12
c)
11
d)
10
2.
Ervin bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Ervin's scores?
a)
193
b)
127
c)
60
d)
66
3.
What is the mode?
a)
# happening the most
b)
the average
c)
biggest - smallest
d)
the middle #
4.
The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
a)
6
b)
7
c)
8
d)
9
5.
Find the mean of these numbers:
5,11,2,12,4,2
5,11,2,12,4,2
a)
4.1
b)
6
c)
4.5
d)
4
6.
Find the median of these numbers:
4,2,7,4,3
4,2,7,4,3
a)
2
b)
5
c)
7
d)
4
7.
Find the median, mode and range:
3, 5, 7, 9, 11, 8, 3
3, 5, 7, 9, 11, 8, 3
a)
median:7 mode:3 range:7
b)
median:6 mode:3 range:7
c)
median:7 mode:3 range:8
8.
Find the mean of these numbers:
2, 57, 38, 42, 6
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
9.
To find the mean of a set of numbers, add up all the items and divide by...
a)
2
b)
The minimum
c)
The maximum
d)
The number of items
10.
What is the range?
a)
average
b)
biggest-smallest
c)
the middle #
d)
# happening the most
11.
All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?
a)
1
b)
2
c)
3
d)
4
12.
What does this symbol represent?
a)
Mean
b)
Median
c)
Mode
d)
Standard Deviation
13.
What is the population 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
14.
If this data were a sample what would the sample standard deviation for the data be?
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
a)
6.89
b)
10.1
c)
7.26
d)
9
15.
What does this symbol represent?
a)
Standard Deviation
b)
Variance
c)
Mean Absolute Deviation
d)
Sigma
16.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
17.
Determine the sum of the series written in Sigma Notation.
a)
45
b)
49
c)
90
d)
47
18.
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.
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
19.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
20.
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.
21.
Find the area under the standard normal curve to the right of z = -2.67.
a)
0.0869
b)
0.9962
c)
0.0008
d)
0.1234
22.
Find the area below a z-score of 1.25.
a)
0.89
b)
0.01
c)
0.79
d)
0.12
23.
μ = 70 , σ = 8 , X = 50 . Find z score
a)
2.5
b)
-2.5
c)
5.2
d)
-5.2
24.
Find the area of the shaded region.
a)
0.16
b)
0.84
c)
0.68
d)
0.34
25.
Find the area of the shaded region.
a)
0.16
b)
0.84
c)
0.68
d)
0.34
26.
Find the area of the shaded region.
a)
0.16
b)
0.84
c)
0.68
d)
0.34
27.
Find the area under the normal distribution curve between a z=-1.26 and z=.57.
a)
0.0047
b)
0.9204
c)
0.6119
d)
0.4981
28.
Find the area under the normal distribution curve to the left of
Z=0.27.
Z=0.27.
a)
0.3936
b)
0.3897
c)
0.6064
d)
0.4892
29.
Using a z-score table. 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%
30.
A sample of 40 people owned an average of 1.35 apple products. It is known from a previous study that the population standard deviation of apple product ownership is 0.63 products. Construct a 95% confidence interval.
a)
(1.11, 1.58)
b)
(1.15, 1.55)
c)
(1.19, 1.51)
d)
(1.09, 1.61)
31.
A 90% confidence interval for the average salary of all CEOs in the electronics industry was constructed using the results of a random survey of 45 CEOs. The interval was ($139,048, $154,144). Give a practical interpretation of the interval.
a)
90% of the sampled CEOs have salaries that fell in the interval $139,048 to $154,144
b)
We are 90% confident that the mean salary of all CEOs in the electronics industry falls in the interval $139,048 to $154,144.
c)
90% of all CEOs in the electronics industry have salaries that fall between $139,048 to $154,144
d)
We are 90% confident that the mean salary of the sampled CEOs falls in the interval $139,048 to $154,144.
32.
The 99% confidence interval for a proportion is (0.54, 0.72). What is p̂?
a)
0.63
b)
0.18
c)
0.09
d)
0.66
33.
A survey of 280 homeless persons showed that 63 were veterans. Construct a 90% confidence interval for the proportion of homeless persons who are veterans.
a)
(0.161 to .289)
b)
(0.176 to 0.274)
c)
(0.184 to 0.266)
d)
(0.167 to 0.283)
34.
The 90% interval for a statistics test was given by 72 +- 7. What is the lower value for the interval?
a)
7
b)
72
c)
65
d)
79
35.
You take a poll and find that 34% of the 100 people you asked dislike school lunches. Using a 95% confidence level, what is the margin of error?
a)
0.093
b)
0.047
c)
.034
d)
.34
36.
A chi-square test is used to test whether a 0 to 9 spinner is "fair" (that is, the outcomes are all equally likely). The spinner is spun 100 times, and the results are recorded. The degrees of freedom for the test will be
a)
8
b)
9
c)
10
d)
99
37.
What are the expected counts of a female who likes Pepsi?
a)
10.5
b)
11
c)
14.5
d)
6.3
38.
What is the Null Hypothesis
a)
The choice of coke is independent of gender
b)
The choice of coke is not independent of gender
39.
What are the expected counts of a male who likes Coke?
a)
14.5
b)
11
c)
14.5
d)
6.3
40.
What is the
χ2 calculated value for the following situation.
χ2 calculated value for the following situation.
a)
6.65
b)
6.66
c)
4.5
d)
6.3
41.
If the χ2 critical value = 5.99 and the
χ2 calculated value = 6.65 do you accept or reject the Ho hypothesis?
χ2 calculated value = 6.65 do you accept or reject the Ho hypothesis?
a)
Reject
>
>
>
>
>
>
b)
accept
c)
there is not enough info to decide
42.
What are the degrees of freedom for the following χ² test?
a)
6
b)
2
c)
5
d)
36
43.
What is the expected value for all cells, if we assume that this is a fair six sided die?
a)
96
b)
16
c)
8
d)
1/6
44.
What is the null hypothesis?
a)
Injury type is independent of position played
b)
Injury type is dependent on the position played independent
45.
What is the interquartile range of the box-and-whisker plot?
a)
20
b)
35
c)
40
d)
60
46.
What is the interquartile range in the box-and-whisker plot below?
a)
8
b)
12
c)
25
d)
32
47.
The students’ test scores in Mr. Stancil’s class are listed below.
73, 81, 95, 100, 78, 85, 75, 92, 99, 81, 77, 95, 95, 88, 84
What is the median of the test scores?
73, 81, 95, 100, 78, 85, 75, 92, 99, 81, 77, 95, 95, 88, 84
What is the median of the test scores?
a)
85
b)
87
c)
92
d)
95
48.
The box-and-whisker plot below shows the average number of tornadoes per year for each state in the United States for 1950 through 1994.
What is the median number of tornadoes per year?
What is the median number of tornadoes per year?
a)
2
b)
18
c)
10
d)
20
49.
What is the median
a)
22
b)
16
c)
28
d)
26
50.
What is the upper quartile of the data?
12,15,17,18,23,30
12,15,17,18,23,30
a)
17.5
b)
23
c)
15
d)
30
51.
What is the maximum value of the data set?
23,25.21,26,29,27,34,28
23,25.21,26,29,27,34,28
a)
34
b)
13
c)
43
d)
27
52.
what is the interquartile range of the data? 15,17,19,23,25,27,30,31
a)
18
b)
10.5
c)
28.5
d)
17
53.
Which restaurant has a higher median wait time?
a)
Lucy's Steakhouse
b)
Gary's Grill
c)
They are the same
54.
Which car club has a higher lower quartile?
a)
Cruisers
b)
Car Hops
55.
About how many sixth grade students earned $400-599 in sales?
a)
15
b)
18
c)
9
d)
26
56.
About how many seventh grade students earned $200-399 in sales?
a)
28
b)
14
c)
3
d)
16
57.
About how many more students in the sixth grade earned between $400 and $599 than seventh grade?
a)
18
b)
16
c)
4
d)
34
58.
What is the MEDIAN of this data
a)
95
b)
90
c)
100
d)
40
59.
Which box and whisker plot has the highest median?
a)
Top plot
b)
Bottom plot
60.
Which of the following lists all parts of the five number summary?
a)
Mean, Median, Mode, Range, and Total
b)
Minimum, Quartile 1, Median, Quartile 3, and Maximum
c)
Smallest, Q1, Q2, Q3, and Q4
d)
Minimum, Maximum, Range, Mean, and Median
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