$$\dfrac{\text{maximum data value} + \text{minimum data value}}{2}$$

Question 1

Which of the following is the correct formula for calculating the mean ($$\bar{x}) of a $$sample with $$n$$ data values $$x_1$$, $$x_2$$, ..., x_n$$?

Accepted Answer

$$\bar{x} = \dfrac{\sum_{i=1}^{n} x_i}{n}$$

Question 2

A dataset contains the following values: 10, 12, 14, 16, 18. What is the median of this dataset?

Accepted Answer

14

Question 3

Which measure of center is most affected by extreme values (outliers) in a dataset?

Accepted Answer

Mean

Question 4

Given the dataset: 2, 2, 3, 4, 6, what is the mode?

Accepted Answer

2

Question 5

If a dataset has values: 5, 7, 9, 11, 13, what is the midrange?

Accepted Answer

$$\dfrac{13 + 5}{2} = 9$$

Question 6

Which of the following statements about the median is TRUE?

Accepted Answer

The median is a resistant measure of center.

Question 7

A hospital records the ages of patients as: 22, 22, 23, 24, 26, 27. What is the mode of this dataset?

Accepted Answer

22

Question 8

Which measure of center is best used for categorical data?

Accepted Answer

Mode

Question 9

A teacher records the following test scores: 70, 80, 80, 90, 100. What is the mean score?

Accepted Answer

$$\dfrac{70 + 80 + 80 + 90 + 100}{5} = 84$$

Question 10

Which of the following scenarios is NOT appropriate for calculating the mean or median?

Accepted Answer

Jersey numbers of football players

Question 11

A dataset contains the following values: 3, 5, 7, 9. If the value 100 is added to the dataset, which measure of center will change the most?

Accepted Answer

Mean

Question 12

If the mean of a sample is calculated as $$\bar{x}$$, what is the symbol for the mean of a population?

Accepted Answer

$$\mu$$

Question 13

Which of the following is a disadvantage of using the mean as a measure of center?

Accepted Answer

It is affected by extreme values.

Question 14

A company has salaries: $$30,000, 35$$,000, $$40,000, 1$$,000,000$. Which measure of center would best represent the typical salary?

Accepted Answer

Median

Question 15

Given the dataset: 2, 2, 2, 2, 2, what are the mean, median, and mode?

Accepted Answer

All are 2

Question 16

Which of the following is the formula for the midrange of a dataset?

Accepted Answer

$$\dfrac{	ext{maximum data value} + 	ext{minimum data value}}{2}$$

Question 17

A dataset has values: 4, 8, 15, 16, 23, 42. What is the median?

Accepted Answer

$$\dfrac{15 + 16}{2} = 15.5$$

Question 18

Which measure of center is least likely to be used for highly skewed data?

Accepted Answer

Mean

Question 19

A survey records the favorite color of 100 students. Which measure of center is most appropriate to summarize the data?

Accepted Answer

Mode

Question 20

If a dataset has no repeated values, what can be said about the mode?

Accepted Answer

There is no mode.

Measures of Center in Statistics: Mean, Median, Mode, and Midrange

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