Answer:
Below.
Explanation:
A measure of variation is an estimate of the spread of the numbers.
For example the set of numbers 1 2 3 19 78 has a greater measure of variation than the set 1 2 3 5 9.
The interquartile range and the mean absolute deviation are measures of variation.
3 6 8 15 21 22 23
The median of the data is the middle number 15..
The lower quartile is 6 and the higher quartile is 22
The interquartile range is 22 - 6 = 16.
The mean absolute deviation (M.A.D.) is calculated as follows:
Mean = (3+6+8+15+21+22+23) / 7 = 98/7
= 14.
List the absolute differences from the mean
14 - 3 = 11
14-6 = 8
15-14 = 1
21-14= 7
22-14 = 8
23-14 = 9 ( all these have to be positive)
The sum of the differences is 11+8+1+7+8+9 = 44
So the MAD = 44/7 = 6.3 to nearest tenth.