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Measures of Central Tendency Review

Total questions: 15

Worksheet time: 30mins

Name
Class
Date
1.

What is the formula to calculate the mean of a set of numbers?

a)

Sum of all numbers * Total count of numbers

b)

Sum of all numbers - Total count of numbers

c)

Total count of numbers / Sum of all numbers

d)

Sum of all numbers / Total count of numbers

2.

If a data set has an even number of values, how is the median calculated?

a)

Choose the lowest value as the median.

b)

Add all values and divide by the total count.

c)

Take the average of the two middle values.

d)

Select the highest value as the median.

3.

What is the value that appears most frequently in a data set known as?

a)

mode

b)

mean

c)

average

d)

median

4.

How is the range of a data set calculated?

a)

Range = Mode Value - Minimum Value

b)

Range = Sum of all values

c)

Range = Maximum Value - Minimum Value

d)

Range = Mean Value - Median Value

5.

What are outliers in a data set?

a)

Outliers in a data set are data points that significantly differ from other data points in the set.

b)

Outliers are data points that are always accurate

c)

Outliers are data points that have no impact on the analysis

d)

Outliers are the most common data points in a set

6.

Calculate the mean of the following numbers: 10, 15, 20, 25, 30

a)

20

b)

28

c)

18

d)

22

7.

Find the median of the following set of numbers: 5, 10, 15, 20, 25, 30

a)

22.5

b)

35

c)

17.5

d)

12.5

8.

Identify the mode in the following data set: 2, 4, 4, 6, 8, 8, 8, 10

a)

8

b)

2

c)

6

d)

10

9.

Determine the range of the data set: 12, 15, 18, 21, 24, 27

a)

15

b)

20

c)

9

d)

30

10.

How do outliers affect the measures of central tendency in a data set?

a)

Outliers can distort the mean and median, making them less representative of the central tendency of the data set.

b)

Outliers have no impact on measures of central tendency

c)

Outliers increase the accuracy of the mean and median

d)

Outliers always perfectly represent the central tendency of the data set

11.

During a week of tracking her jogging distance, Alice recorded her daily distances in miles as follows: 3, 5, 7, 9, 11. What is the median distance she jogged in a day?

a)

5

b)

7

c)

9

d)

11

12.

In a classroom, how is the most common favorite color determined from a survey?

a)

It is the average color chosen.

b)

It is the color in the middle when all colors are listed in order.

c)

It is the color that appears most frequently in the survey results.

d)

It is the difference between the most and least popular colors.

13.

In a classroom, what does the term 'mean' score of a test refer to?

a)

The score in the middle when all scores are ordered

b)

The score that appears most frequently

c)

The sum of all scores divided by the number of students

d)

The difference between the highest and lowest scores

14.

Imagine you are analyzing the salaries of employees in a company. Which measure of central tendency would be most affected if the CEO's salary, which is significantly higher than the rest, is included in the data set?

a)

Mode

b)

Median

c)

Mean

d)

Range

15.

Imagine you have collected the ages of all participants in a local marathon, resulting in an odd number of ages. How is the median age determined?

a)

It is the age that appears most frequently among the participants.

b)

It is the middle age when all ages are arranged in order.

c)

It is the sum of all ages divided by the total number of participants.

d)

It is the highest age minus the lowest age among the participants.