Measures of Central Tendency and Dispersion: Master Data Analysis

Question 1

Which measure of central tendency is most affected by extreme values?

Accepted Answer

Mean

Answer

Mode

Answer

Median

Answer

Range

Question 2

The data set {2, 4, 5, 5, 8, 10} has a mean of 5.5 and a median of 5. What is the mode?

Accepted Answer

5

Answer

10

Answer

4

Answer

8

Question 3

Which measure of dispersion is the most appropriate for skewed data?

Accepted Answer

Range

Answer

Median

Answer

Standard deviation

Answer

Mean

Question 4

A data set has a mean of 10 and a standard deviation of 2. What is the range of values that lie within one standard deviation of the mean?

Accepted Answer

8 to 12

Answer

5 to 15

Answer

9 to 11

Answer

6 to 14

Question 5

A data set with a small range suggests that the data values are

Accepted Answer

Clustered closely together

Answer

Widely dispersed

Answer

Symmetrically distributed

Question 6

The mean of a data set is 50. If 5 is added to each data value, what is the new mean?

Accepted Answer

55

Answer

45

Answer

60

Answer

50

Question 7

Which of the following measures of central tendency is NOT affected by the presence of outliers?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Average

Question 8

A data set has a mean of 100 and a range of 50. What is the maximum possible value in the data set?

Accepted Answer

125

Answer

150

Answer

100

Question 9

The median of a data set is the middle value when the data is arranged in

Accepted Answer

Ascending or descending order

Answer

Even-numbered order

Answer

Odd-numbered order

Answer

Random order

Question 10

A teacher records the following test scores: 75, 80, 85, 90, 90, 95. What is the median score?

Accepted Answer

87.5

Answer

80

Answer

90

Answer

85

Question 11

A set of data has a mean of 10 and a range of 5. Which of the following could be the data set?

Accepted Answer

8, 9, 10, 11, 12

Answer

1, 2, 3, 4, 5

Answer

10, 10, 10, 10, 10

Answer

5, 6, 7, 8, 9

Question 12

The heights of five students are 150 cm, 160 cm, 155 cm, 165 cm, and 170 cm. What is the mode of their heights?

Accepted Answer

There is no mode

Answer

160 cm

Answer

155 cm

Answer

150 cm

Question 13

A store owner wants to know how many customers purchased more than 10 items in a day. Which measure of central tendency is most appropriate for this information?

Accepted Answer

None of the above

Answer

Mode

Answer

Mean

Answer

Median

Question 14

The average age of students in a class is 15. If there are 20 students in the class, what is the sum of their ages?

Accepted Answer

300

Answer

15

Answer

150

Answer

20

Question 15

A data set has a mean of 25 and a range of 10. Which of the following statements is true?

Accepted Answer

The largest value in the data set is 35.

Answer

The data set must have at least one value equal to 25.

Answer

The smallest value in the data set is 15.

Answer

All values in the data set are between 15 and 35.

Question 16

The number of hours students spend studying each week is recorded as: 5, 10, 8, 6, 12, 10, 7. What is the range of this data set?

Accepted Answer

7

Answer

12

Answer

10

Answer

5

Question 17

A set of data has a mean of 15. If one value of 20 is removed from the data set, what will happen to the mean?

Accepted Answer

The mean will decrease.

Answer

It is impossible to determine without more information.

Answer

The mean will stay the same.

Answer

The mean will increase.

Question 18

Which measure of central tendency is most affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 19

A teacher wants to represent the most common test score in a class. Which measure of central tendency would be most appropriate?

Accepted Answer

Mode

Answer

Range

Answer

Mean

Answer

Median