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Educ./Inferential Stat. Long Test

Total questions: 75

Worksheet time: 1hrs 19mins

Name
Class
Date
1.

What is the correlation for the following Scatter Plot.

a)

Weak Positive

b)

No Correlation

c)

Strong Negative

d)

Weak Negative

e)

Strong Positive

2.

What is the correlation for the following Scatter Plot.

a)

Weak Positive

b)

No Correlation

c)

Strong Negative

d)

Weak Negative

e)

Strong Positive

3.

Correlation coefficient is the statistic that measures the strength and direction of a linear association between two quantitative variables.

a)

True

b)

False

4.

If r=0, there is a strong correlation.

a)

True

b)

False

5.

r = -0.3 is considered to have...

a)

moderate negative correlation

b)

weak negative correlation

c)

no correlation

d)

strong negative correlation

6.

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

7.
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
8.
a)
Skewed Left
b)
Skewed Right
c)
Uniform
d)
Symmetric
9.
a)
Skewed Right
b)
Skewed Left
c)
Uniform
d)
Symmetric
10.
a)
Skewed Right
b)
Skewed Left
c)
Uniform
d)
Symmetric
11.

The median score is also the _____.

a)

75th percentile

b)

5th decile

c)

3rd decile

d)

1st quartile

12.

When a distribution is divided into hundred equal parts, each score point that describes the distribution is called a ___________.

a)

percentile

b)

decile

c)

quartile

d)

median

13.

The lower quartile is equal to ______________.

a)

50th percentile

b)

25th percentile

c)

2nd decile

d)

3rd quartile

14.

Rochelle got a score of 55 which is equivalent to 70th percentile in a mathematics test. Which of the following is NOT true?

a)

She scored above 70% of her classmates.

b)

Thirty percent of the class got scores of 55 and above.

c)

If the passing mark is the first quartile, she passed the test.

d)

Her score is below the 5th decile.

15.

In a 100-item test, the passing mark is the 3rd quartile. What does it imply?

a)

The students should answer at least 75 items correctly to pass the test.

b)

The students should answer at least 50 items correctly to pass the test.

c)

The students should answer at most 75 items correctly to pass the test.

d)

The students should answer at most 50 items correctly to pass the test

16.

In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19, the median score is _____.

a)

17

b)

16

c)

15

d)

13

17.

In a 70-item test, Melody got a score of 50 which is the third quartile. This means that:

a)

she got the highest score.

b)

her score is higher than 25% of her classmates.

c)

she surpassed 75% of her classmates.

d)

seventy-five percent of the class did not pass the test.

18.

The 1st quartile of the ages of 250 fourth year students is 16 years old. Which of the following statements is true?

a)

Most of the students are below 16 years old.

b)

Seventy-five percent of the students are 16 years old and above.

c)

Twenty-five percent of the students are 16 years old.

d)

One hundred fifty students are younger than 16 years.

19.

Which of these fractiles divides the data set into four equal parts?

a)

Decile

b)

Median

c)

Percentile

d)

Quartile

20.

Which of these percentiles refer to the median?

a)

P10

b)

P25

c)

P50

d)

P75

21.

Which of these percentiles refer to the 1st decile?

a)

P10

b)

P25

c)

P50

d)

P75

22.

What is the upper quartile in the distribution?

80, 85, 86, 90, 93, 95, 96

a)

85

b)

90

c)

95

d)

96

23.

What is the percentile rank of 87?

Given: 70, 75, 80, 86, 87, 91, 94, 95, 98, 98

a)

25th

b)

40th

c)

50th

d)

75th

24.

What percent of the students who took the exam have the lower scores than Jose if Jose's score is at the 95th percentile rank?

a)

75

b)

80

c)

90

d)

95

25.

if Jose's score is at 95th percentile rank, what is the probability that a score randomly chosen is equal to or greater than Jose's score?

a)

5 %

b)

20%

c)

25%

d)

95%

26.

The median is equivalent to ____.

a)

A. the median quartile (Q2)  

b)

B. the 5th decile (D5)

c)

C. the 50th percentile (P50)

d)

D. all of these

27.

The distribution is _________ skewed.

a)

positively

b)

negatively

c)

not

d)

normal

28.

How peak or how flat is the curve in the middle distribution refers to the _______.

a)

skewness

b)

kurtosis

c)

bimodal

d)

median

29.

The data in the picture:

a)

is negatively skewed

b)

positively skewed

c)

symmetrical

30.

Remember  skew = 3(meanmedian)standard deviationskew\ =\ \frac{3\left(mean-median\right)}{s\tan dard\ deviation}  . Find the skew to 2 decimal places

(a)  

31.

Kurtosis is a measure of whether a plot has

a)

Fat or skinny tails

b)

Aesthetic appeal

c)

A non-normal mean

d)

Too many eigenvalues

32.

A has minimal kurtosis

B has normal kurtosis

C has heavy kurtosis. In order ABC, they are:

a)

Platykurtic, mesokurtic and leptokurtic

b)

Leptokurtic, platykurtic and mesokurtic

c)

Mesokurtic, platykurtic, and leptokurtic

d)

Leptokurtic, mesokurtic and platykurtic

33.

It is defined as the square root of the variance.

a)

coefficient of variation

b)

midrange

c)

standard deviation

d)

kurtosis

34.

How peak or how flat is the curve in the middle distribution refers to the _______.

a)

skewness

b)

kurtosis

c)

bimodal

d)

median

35.

If the distribution is symmetric about mean then the skewness is

a)

0

b)

1

c)

positive

d)

negative

36.

Which measure is used to determine whether the distribution is heavy-tailed or light-tailed?

a)

skewness

b)

kurtosis

c)

variance

d)

standard deviation

37.

Refers to the degree of flatness or peakedness of a frequency distribution

a)

Measures of shape

b)

Measures of skewness

c)

Concept of kurtosis

d)

Cumulative distribution

38.

Items are more closely clustered around the mean

a)

Mesokurtic

b)

Leptokurtic

c)

Platykurtic

39.
Which of the following is a measure of variability?
a)
mean
b)
median
c)
mode
d)
standard deviation
40.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
41.

In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the standard deviation of the resulting sampling distribution?

a)

0.53

b)

0.41

c)

0.35

d)

0.22

42.
The number of goals scored by seven forwards in one soccer season were 8, 6, 4, 8, 3, 1, and 5. Find the mean number of goals scored by the seven forward
a)
20
b)
10
c)
3
d)
5
43.
The number of goals scored by seven forwards in one soccer season were 8, 6, 4, 8, 3, 1, and 5. Find the mean number of goals scored by the seven forward
a)
20
b)
10
c)
3
d)
5
44.
What does this symbol represent?
a)
Variance
b)
Standard Deviation
c)
Mean Absolute Deviation
d)
Sigma
45.

What does variance represent?

a)

How many different variations are in the data set.

b)

How the population varies compared to the sample.

c)

How spread out each data value is from the mean.

d)

The range, but with a bunch of other stuff going on.

46.

How do you calculate the standard deviation?

a)

Divide the variance by 2.

b)

Its a long process and I can't explain it right now.

c)

Find the mean and multiply it by the variance.

d)

Take the square root of the variance.

47.
What does this symbol represent?
a)
Standard Deviation
b)
Variance
c)
Mean Absolute Deviation
d)
Sigma
48.
The number of miles that Jenna cycled each week for a 7-week period is shown: 
36, 42, 28, 52, 48, 36, 31 
What is the median number of miles Jenna cycled?
a)
24
b)
36
c)
39
d)
52
49.
Which of the following is a measure of variability?
a)
mean
b)
median
c)
mode
d)
standard deviation
50.
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?
a)
1
b)
2
c)
3
d)
4
51.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
52.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
53.
The number of goals scored by seven forwards in one soccer season were 8, 6, 4, 8, 3, 1, and 5. Find the mean number of goals scored by the seven forward
a)
20
b)
10
c)
3
d)
5
54.

What does variance represent?

a)

How many different variations are in the data set.

b)

How the population varies compared to the sample.

c)

How spread out each data value is from the mean.

d)

The range, but with a bunch of other stuff going on.

55.

How do you calculate the standard deviation?

a)

Divide the variance by 2.

b)

Its a long process and I can't explain it right now.

c)

Find the mean and multiply it by the variance.

d)

Take the square root of the variance.

56.

What is the range in statistics?

a)

(Highest + lowest)/2

b)

Highest - lowest

c)

(Highest - lowest)/2

d)

(Highest - lowest)2

57.

Before you can begin calculating the variance, you must first:

a)

find the mean

b)

find the median

c)

find the mode

d)

find the range

58.

What is the difference between the formulas for population variance and sample variance?

a)

The sample variance is the square root of the population variance.

b)

The population variance divides the sum of the squares by n-1, while sample divides by N.

c)

The population variance divides the sum of the squares by N, while sample divides by n-1.

d)

There is no difference.

59.

Order the dot plots from least to greatest standard deviation.

a)

A, D, C, B

b)

B, C, D, A

c)

A, D, B, C

d)

B, C, A, D

60.

Before you can begin calculating the variance, you must first:

a)

find the mean

b)

find the median

c)

find the mode

d)

find the range

61.

What is the difference between the formulas for population variance and sample variance?

a)

The sample variance is the square root of the population variance.

b)

The population variance divides the sum of the squares by n-1, while sample divides by N.

c)

The population variance divides the sum of the squares by N, while sample divides by n-1.

d)

There is no difference.

62.

Find the standard deviation of the following

2, 5, 5, 8, 11, 12

to 3 s.f.

(a)  

63.

Find the standard deviation of the following

2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2



(a)  

64.

1. The median score is also the ______.

a)

75th percentile

b)

5th decile

c)

3rd decile

d)

1st quartile

65.

3. The lower quartile is equal to ______.

a)

50th percentile

b)

2nd decile

c)

25th percentile

d)

3rd quartile

66.

Describe a correlation with a coefficient of r=0.3

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

67.

What are numbers, pictures or words without context known as?

a)

Data

b)

Information

c)

Knowledge

68.

What are a collection of words, numbers or pictures with meaning known as?

a)

Data

b)

Information

c)

Knowledge

69.

Which of the following is not an item of data?

a)

Numbers

b)

Images

c)

report

d)

raw facts

70.

Statistics solve economic problems

a)

True

b)

False

71.

Statistics is the science of analyzing

a)

Qualitative data

b)

Quantitative data

c)

Both a and b

d)

None of these

72.

_______ is the entire group of objects or individuals considered for a survey.

a)

Population

b)

Sample

c)

Parameter

d)

Scope

73.

Identify whether the experiment involves a discrete or a continuous random variable.

Collecting data about the mileage per liter of a certain brand and model of a car

a)

Discrete Random Variable

b)

Continuous Random Variable

74.

Indicate which level of measurement is being used in the given scenario. 

The teacher of a class of third graders records the height of each student.

a)

Nominal

b)

Interval

c)

Ordinal

d)

Ratio

75.

Indicate which level of measurement is being used in the given scenario. 

The teacher of a class of third graders records the letter grade for mathematics for each student.

a)

Nominal

b)

Ordinal

c)

Interval

d)

Ratio