Find each measure for the given set of data:

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

Mean =

Median =

Range =

Interquartile range =

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

Mean =  23

Median =  23.5

Range =  22

Interquartile range = 14

Step-by-step explanation:

every 5 customers that walk in, only 2 buy popcorn.

step-by-step explanation:

basically 2/5.

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