Question

The prices of the 19 top-rated all-season tires for a specific tire size, are as follows. Answer parts (a) - (c).$87 $116 $98 $79 $82 $92 $94 $89 $94 $81$107 $112 $103 $96 $86 $92 $75 $99 $90a) Determine Q2b) Determine Q1c) Determine Q3.

Answer 1

First let's calculate the median of the values, putting them in crescent order:

`75,79,81,82,86,87,89,90,92,92,94,94,96,98,99,103,107,112,116`

Since we have 19 numbers, the median is the 10th number, which is 92.

a)

The second quartile is equivalent to the median, so we have Q2 = 92

b)

The first quartile is the middle number between the smallest number and the median, so it is the average of the 5th and 6th numbers, so we have Q1 = (86+87)/2 = 86.5

c)

The third quartile is the middle number between the median and the greatest number, so it is the average between the 14th and 15th numbers, so we have Q3 = (98 + 99)/2 = 98.5