MMW Final Long Test

What is the definition of the mean?

• The most frequent value in a data set

• The middle value in an ordered data set

• The sum of all values divided by the number of values

• The measure of skewness in a distribution

What happens to the mean if an extremely large value (outlier) is added to a data set?

• It decreases slightly.

• It remains unchanged.

• It increases significantly.

• It moves closer to the median.

Given the data set {10, 15, 20, 25, 30}, what is the mean?

• 15

• 20

• 25

• 30

If the median of a data set is 23 and there are 15 values, what position in the ordered data set corresponds to the median?

• 8th value

• 10th value

• 11th value

• 15th value

What is the mode of the following scores: {6, 8, 8, 10, 12, 12, 12, 15}?

• 6

• 8

• 10

• 12

A student scored {85, 90, 95, x}. If the mean score is 92, what is the value of x?

• 85

• 90

• 92

• 98

What measure of central tendency is most appropriate if a data set has extreme outliers?

• Mean

• Median

• Mode

• Standard deviation

Which of the following statements is true for a right-skewed distribution?

• The mean is equal to the median.

• The mean is less than the median.

• The mean is greater than the median.

• The mode is greater than the mean.

A company surveyed 10 employees' monthly salaries (₱15,000, ₱20,000, ₱50,000, ₱18,000, ₱16,000, ₱19,000, ₱120,000, ₱22,000, ₱20,000, ₱19,000). Why is the median a better measure of central tendency than the mean?

• The data set is symmetric.

• The median considers outliers.

• The mean is affected by an extreme value.

• The median is always higher than the mean.

The following data represents students' test scores: {10, 12, 15, 18, 10, 15, 20}. Which statement is correct?

• The mean equals 15.

• The mode equals 10.

• The median equals 15.5.

• The data has two modes, 10 and 15.