Question

Select all the measures of central tendency and measures of variability that are affected by outliers.

mean
median
mode
range
interquartile range
mean absolute deviation

Answer 1

Measure of central tendency

Mean, median, mode

Measures of variability

Range

Interquartile range

Mean absolute deviation

Explanation:

Statistics are tools used for analysing data. It requires collection, analysis and interpretation of data.

The measures used in analysing this datas are divided into two known as he measures of central tendency and measures of variability.

This datas can either be grouped or ungrouped data

The following are measures of central tendency

- Mean: This is used to find the average set of datas or samples collected.

- Median: median is the middle number among the datas after rearranging either in ascending or descending order

- Mode: mode is the value of the data which occurs the most. The value with the highest frequency

The following are measures of variability

- Range: This is the difference between the highest and the lowest value of the data set.

The remaining are the interquartile range and mean absolute deviation. Mean deviation measures the accuracy and variability of the data. It measures precision and accuracy of data.

Answer 2

The correct options are:

Mean, Range, Mean absolute deviation.

Because the mean is most affected by outliers, the range is also affected by the outliers and mean absolute deviation is affected by the outliers.

The median, the mode and the interquartile range are least affected by the outliers. Hence the correct options are: Mean, Range, Mean absolute deviation.