Free Printable MEASURE OF DISPERSION

1.

Which of the following is not a measure of dispersion?

a)

range

b)

variance

c)

standard deviation

d)

mode

2.

Which of the measures of location is used in computing for the variance of a distribution?

a)

mean

b)

median

c)

mode

d)

midrange

3.

It is defined as the square root of the variance.

a)

coefficient of variation

b)

midrange

c)

standard deviation

d)

kurtosis

4.

If the dispersion is small, then the values in the distribution is close to the median.

a)

true

b)

false

5.

Which of the measures of dispersion only uses two values in the distribution?

a)

range

b)

standard deviation

c)

variance

d)

mean deviation

6.

Which of the following is a characteristic of the range? Check all that apply.

a)

All values in the distribution are used in the calculation.

b)

It is influenced by extreme values.

c)

It is dependent on the mean.

d)

It is easy to compute and to understand.

7.

Which of the following is a property of the standard deviation? Check all that apply.

a)

It can be negative.

b)

All the values in the distribution are used in computing for the standard deviation.

c)

It is in the same units as the original data

d)

It is the most widely reported measure of dispersion.

8.

The table shows the distribution of sizes of branded trousers sold in a departmental store. Calculate the standard deviation of the distribution of data.

a)

3.29

b)

3.59

c)

10.85

d)

12.69

9.

Calculate the standard deviation of the set of data.

a)

137.64

b)

130.25

c)

11.73

d)

11.41

10.

The stem-and-leaf plot is for the sample height (in centimetre) for a rose plants herbs. Determine the first quartile for this set of data.

a)

135 cm

b)

171 cm

c)

156 cm

d)

188 cm

11.

Table shows the product of frequency and mass. The sum of the frequency is 25. Find the value of n.

a)

15

b)

2

c)

45

d)

3

12.

Diagram shows a set of 7 values of data, where k is an integer. The mode of the set of data is 7 and the median is 5. An integer, 8 is added to the original set of data. Calculate the new mean of the data.

a)

4.75

b)

5.43

c)

5.75

d)

6.57

13.

(a)

14.

If the variance of a data set is 30.25, what is the standard deviation?

a)

5.5

b)

15.125

c)

60.5

d)

915.0625

15.

Find the standard deviation for the following data; 86, 95, 78, 67, and 85.

a)

82.2

b)

5

c)

9.33

d)

10.43

16.

The heights of some students are given.

158cm 172cm 164cm

164cm 167cm 159cm

What is the range of the heights?

a)

13cm

b)

14cm

c)

164cm

d)

330cm

17.

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

18.

A(n) ____ of a data set is much greater or much less than the other data values.

a)

mean

b)

median

c)

mode

d)

outlier

19.

What is the median on this box pot?

a)

52

b)

54

c)

56

d)

63

20.

Find the Value of Data Range for the above data

a)

60

b)

59

c)

58

d)

61

21.

$\cdot$

Class Interval f
1-10 3
11-20 4
21-30 7
31-40 16
41-50 6
51-60 4

Find the Value of mean , $\overline{x}$ for the above data

a)

32

b)

32.5

c)

33.5

d)

33

22.

10 , 20 , 25 , 30

Calculate Standard Deviation

a)

70.92

b)

72.92

c)

74.92

d)

76.92

23.

What does this symbol represents?

a)

Data

b)

Mode

c)

Variance

d)

Mean

24.

What does this symbol represent?

a)

Standard Deviation

b)

Variance

c)

Mean Absolute Deviation

d)

Sigma

25.

At Donald's Donuts the number of donut holes in a bag can vary. Help Donald find the mode.
12, 10, 10, 10, 13, 12, 11, 13, 10

a)

13

b)

12

c)

11

d)

10

26.

The salary of the employees in the office were $15,000; $18,000; $16,000; $14,000; $90,000; and $17,000. What is the best measure of the central tendency of the salaries?

a)

Mean

b)

Median

c)

Mode

d)

Range

27.

Which is the number that appears the MOST often?

a)

mean

b)

median

c)

mode

d)

range

28.

What is the RANGE of this data

a)

40

b)

95

c)

90

d)

100

29.

Dispersion measures

a)

The scatterness of a set of observation

b)

The concentration of a set of observations

c)

Both (a) and (b)

d)

Neither (a) and (b)

30.

The most commonly used measure of dispersion is

a)

Range

b)

Quartile deviation

c)

Standard deviation

d)

Coefficient of variation

31.

In order to find the median, the data must be sorted from least to greatest first.

a)

True

b)

False

32.

The table shows the points earned by contestants in a competition. Find the range and the interquartile range of the points.

a)

Range: 15; IQR: 13

b)

Range: 15; IQR: 12

c)

Range: 15; IQR: 11

d)

Range: 15; IQR: 10

33.

Calculate the interquartile range of the following data: 17, 18, 18, 19, 20, 21, 21, 23, 25

a)

3

b)

8

c)

4

d)

5

MEASURE OF DISPERSION

Total questions: 33

Worksheet time: 52mins

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