Suppose that the following data provide the hours of televis

Suppose that the following data provide the hours of television viewing per week for a sample of 15 high school students in Grand Rapids. Michigan: 5, 11, 25, 19, 18, 20, 27, 13, 8, 10, 15, 19, 18, 9, and 12. Determine the value of the first quartile Find the 5 number summary and show the Box-Plot Calculate the interquartile range.

Solution

a)   the first quartile   is Q1 = 10

b) five number summary means minimum value, upper quartile, median, lower quartile, maximum value

first arrange the data from ascending order to decensing order the data is

5, 8, 9, 10, 11, 12,13, 15, 18, 18, 19, 19, 20, 25, 27

minimum value   =   5

Q1 =      10

median =      15

Q3=      19

maximim value =     27

c) inter quartile range = Q3    -     Q1   =     19 - 10 = 9