Answer:
Mean = 23
Median = 23.5
Range = 22
Interquartile range = 15
Explanation:
The mean of a set of numbers is the ratio of the total of these numbers to the number of numbers added. As such where there are u numbers and the sum of these numbers is P, the mean is
= P/u
Hence the mean of the numbers given
= (11 + 13 + 17 + 20 + 22 + 25 + 27 + 31 + 31 +33 )/10
= 230/10
= 23
The median is the number at the middle after arranging from highest to lowest or vice versa
= (22 + 25)/2
= 47/2
= 23.5
The range is the difference between the highest and lowest numbers
= 33 - 11
= 22
the interquartile range
= Q₃ - Q₁
where Q₃ is the 3(n + 1)/4 placed observation
Q₁ is the (n + 1)/4 placed observation
Q₃ = 3(10 + 1)/4
= 8.25th
= 31 + 0.25(31 - 31)
= 31
Q₁ = (10 + 1)/4
= 2.75th
= 13 + 0.75(17 - 13)
= 16
Interquartile range
= 31 - 16
= 15