Question

Define and distinguish among mean, median, and mode. Choose the correct description of the mean below. O A. The mean is the most common value in a data set. It can be strongly affected by outliers. O B. The mean is the sum of all the values divided by the number of values. It can be strongly affected by outliers. O C. The mean is the most common value in a data set. It is not affected by outliers. O D. The mean is the sum of all the values divided by the number of values. It is not affected by outliers. O E. The mean is the middle value in a data set. It can be strongly affected by outliers O F. The mean is the middle value in a data set. It is not affected by outliers.

Answer 1

The mean is the arithmetic average of a dataset and is affected by outliers, which corresponds to option B. The median is the middle value and isn't affected by outliers. The mode is the most frequently occurring value in a dataset.

The concepts of mean, median, and mode are all measures of central tendency, but they are calculated and used in different ways:

Mean: This is the arithmetic average of a data set, calculated by adding up all the values and then dividing by the number of values. It can be affected by outliers or extreme values.

Median: This is the middle value of an ordered data set. If the data set has an even number of values, the median is the average of the two middle numbers. It is not affected by outliers and is useful when a data set has extreme values.

Mode: This is the most frequently occurring value in a data set. A data set may have one mode, more than one mode, or no mode at all if all values have the same frequency.

The correct description of the mean is that it is the sum of all the values divided by the number of values and can be strongly affected by outliers, which makes option B the correct choice.

Answer 2

As far as I know

Mode: The most frequent number—that is, the number that occurs the highest number of times. Example: The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.

The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.