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Which of the following is TRUE? Select one: a. Mode is better than mean to measure...

Which of the following is TRUE? Select one: a. Mode is better than mean to measure the central tendency for categorical data. b. A data group with larger standard deviation has relatively greater variability than another data group with smaller standard deviation. c. Mean is always equal to median. d. Population variance is always equal to sample variance.

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Answer #1

Correct statement is '' Mode is better than mean to measure central tendency for categorical data''

Mean is the average value of the data.It is calculated by dividing the total values by number of observation

Mode is the value that occurs the most in the group of the data.

When evaluating the categorical data mode is usually the best measure of central tendency as the central value or average value is difficult to calculate and could not be accurate as the group cannot be distributed into groups easily so mode use to measure the most occured value as central tendency.

Mean and median are not same.Median is the middle value of data set and mean is the average.

Population variance is not always equal to samplea variance.Sample varaiance use n-1 in formula and population variance use n

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