Measures of Central Tendency: A Comprehensive Guide for Nursing Students

Question 1

Which measure of central tendency is less affected by extreme values, aside from mean, median, and mode?

Accepted Answer

Trimmed mean

Answer

Weighted mean

Answer

Midrange

Answer

Geometric mean

Question 2

Which of the following is not a measure of central tendency used to describe the center of a dataset?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 3

The mean of a dataset is 10 and the median is 12. Which of the following is most likely true about the data distribution?

Accepted Answer

Skewed to the right

Answer

Symmetrical and unimodal

Answer

Skewed to the left

Answer

Bimodal

Question 4

Which measure of central tendency is obtained by dividing the sum of all values in a dataset by the number of values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 5

Which measure of central tendency represents the value that appears most frequently in a dataset?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Standard deviation

Question 6

The range of a dataset signifies:

Accepted Answer

The dispersion of data values

Answer

The average value

Answer

The most common value

Answer

The proportion of values within one standard deviation of the mean

Question 7

Which measure of central tendency is most susceptible to extreme values (outliers)?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Variance

Question 8

The standard deviation of a dataset quantifies:

Accepted Answer

The dispersion of data values around the mean

Answer

The average distance between data points

Answer

The probability of a specific value occurring

Answer

The proportion of values within two standard deviations of the mean

Question 9

The variance of a dataset is calculated by:

Accepted Answer

Squaring the standard deviation

Answer

Taking the square root of the standard deviation

Answer

Summing all values in the dataset and dividing by the number of values

Answer

Subtracting the mean from each value in the dataset

Question 10

Which of the following is NOT a measure of central tendency?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 11

In a normal distribution, approximately what percentage of data lies within one standard deviation of the mean?

Accepted Answer

68%

Answer

34%

Answer

95%

Answer

99.7%

Question 12

For skewed data, which measure of central tendency is most appropriate?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 13

Which measure of central tendency is the most appropriate for skewed data (data that is not symmetrically distributed)?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 14

Calculate the mean of the following data set: {5, 7, 9, 11, 13}

Accepted Answer

9

Answer

7

Answer

11

Answer

13

Question 15

Which measure of central tendency is heavily influenced by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Standard deviation

Question 16

Which measure of central tendency is most appropriate when comparing data sets with different sample sizes?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 17

Which measure of central tendency is the most reliable estimate of the center of a normally distributed data set?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Standard deviation

Question 18

When working with small sample sizes or skewed data, which measure of central tendency is most appropriate?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 19

Which measure of central tendency is most susceptible to extreme values?

Accepted Answer

Mean

Answer

Mode

Answer

Range

Answer

Median

Question 20

In a set of five patient weights, the average weight is 150 pounds. If a sixth patient weighing 200 pounds is added, what will be the new mean weight?

Accepted Answer

158.3 pounds

Answer

160 pounds

Answer

150 pounds

Answer

200 pounds

Question 21

Which of the following is NOT considered a measure of dispersion?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 22

The median of a data set is the value that:

Accepted Answer

Divides the data into two equal halves when arranged in ascending order.

Answer

Occurs most frequently in the data set.

Answer

Is the sum of all values in the data set divided by the number of values.

Question 23

The range of a data set is defined as the:

Accepted Answer

Difference between the maximum and minimum values.

Answer

Sum of all values in the data set.

Answer

Average of all values in the data set.

Question 24

Which of the following formulas represents the standard deviation?

Accepted Answer

√[Σ(xi - μ)² / N]

Answer

Σxi / N

Answer

(xi - μ)² / N

Answer

Σ(xi - μ) / N

Question 25

The variance of a data set is:

Accepted Answer

The square of the standard deviation.

Answer

The reciprocal of the standard deviation.

Answer

The sum of the deviations from the mean.

Answer

The difference between the maximum and minimum values.

Question 26

Which measure of central tendency is considered the most stable and reliable?

Accepted Answer

Mean

Answer

Median

Answer

Range

Answer

Mode

Question 27

A nurse records the systolic blood pressure (in mmHg) of 10 patients: 120, 125, 130, 135, 140, 145, 150, 155, 160, 165. What is the mean blood pressure?

Accepted Answer

142.5 mmHg

Answer

160 mmHg

Answer

150 mmHg

Answer

130 mmHg

Question 28

Which measure of central tendency is most heavily influenced by extreme values (outliers)?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 29

In a normal distribution, which measure of central tendency has the same value as the mean and the mode?

Accepted Answer

Median

Answer

Variance

Answer

Standard deviation

Question 30

Which measure of central tendency is calculated by adding all data points and dividing by the number of data points?

Accepted Answer

Mean

Answer

Mode

Answer

Median

Question 31

The median of a dataset is 25. What does this indicate?

Accepted Answer

Half of the data points are below 25, and half are above 25.

Answer

Most of the data points are near 25.

Answer

The dataset contains an even number of data points.

Question 32

Which measure of central tendency represents the value that occurs most frequently in a dataset?

Accepted Answer

Mode

Answer

Median

Answer

Mean

Question 33

The range of a dataset is 10. What does this imply?

Accepted Answer

The difference between the highest and lowest data points is 10.

Answer

The mean of the dataset is 10.

Answer

The standard deviation of the dataset is 10.

Question 34

Which measure of central tendency is defined as the square root of the average of squared differences from the mean?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Variance

Question 35

Which measure of central tendency is calculated by finding the average of the squared differences from the mean?

Accepted Answer

Variance

Answer

Standard deviation

Answer

Mean

Question 36

When calculating the mean of a dataset, it is important to:

Accepted Answer

Consider all data points, without removing any outliers.

Answer

Use only the median value.

Answer

Round the result to the nearest whole number.

Question 37

Which of the following is not a measure of central tendency?

Accepted Answer

Interquartile range

Answer

Median

Answer

Mode

Question 38

Which measure of central tendency is best suited for data that is ranked or categorized, such as Likert scale responses?

Accepted Answer

Median

Answer

Mean

Answer

Range

Answer

Mode

Question 39

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

Accepted Answer

Mean

Answer

Mode

Answer

Standard deviation

Answer

Median

Question 40

A histogram depicts a distribution with a tail extending to the right. Which measure of central tendency is expected to be most significant?

Accepted Answer

Mean

Answer

Mode

Answer

Median

Answer

Standard deviation

Question 41

Which measure of central tendency represents the value that occurs most frequently in a distribution?

Accepted Answer

Mode

Answer

Range

Answer

Mean

Answer

Median

Question 42

Which measure of central tendency is sensitive to the number and magnitude of outliers in a dataset?

Accepted Answer

Mean

Answer

Range

Answer

Mode

Answer

Median

Question 43

A normal distribution has a mean of 60 and a standard deviation of 15. What is the approximate probability of selecting a value between 40 and 80?

Accepted Answer

0.9544

Answer

0.6827

Answer

0.9973

Answer

0.8413

Question 44

Which measure of central tendency is used as the basis for calculating the variance of a dataset?

Accepted Answer

Mean

Answer

Median

Answer

Range

Answer

Mode

Question 45

A dataset has two distinct values that occur most frequently. What type of distribution is it likely to exhibit?

Accepted Answer

Bimodal

Answer

Normal

Answer

Skewed

Answer

Uniform

Question 46

Which of the following is not considered a measure of central tendency?

Accepted Answer

Standard deviation

Answer

Mode

Answer

Median

Answer

Mean

Question 47

The mode of a data set is defined as:

Accepted Answer

The value that occurs with the highest frequency

Answer

The sum of all values

Answer

The average value

Answer

The middle value

Question 48

The range of a data set is the:

Accepted Answer

Difference between the highest and lowest values

Answer

Average of all values

Answer

Standard deviation of all values

Answer

Sum of all values

Question 49

Which of the following data sets has the greatest standard deviation?

Accepted Answer

2, 4, 6, 8, 10

Answer

1, 3, 5, 7, 9

Answer

0, 2, 4, 6, 8

Answer

1, 2, 3, 4, 5

Question 50

The variance of a data set is:

Accepted Answer

The square of the standard deviation

Answer

The average of all values

Answer

The sum of all values

Question 51

Which measure of central tendency is most suitable for skewed data?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 52

The mean of a data set is 10. If a value of 12 is added to the data set, what will be the new mean?

Accepted Answer

11

Answer

12.5

Answer

9.5

Answer

12