Find each measure for the given set of dа ta:

11, 13, 17, 20, 22, 25, 27, 31, 31, 33

Mean =

Median =

Range =

Interquartile range =

Mean = 23

Median = 23.5

Range = 22

Interquartile range = 14

Mean = 23

Median = 23.5

Range = 22

Interquartile range = 15

Step-by-step 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