Question

Here are the shoe sizes for a boy’s soccer team. Find the quartiles for the data.

7.5, 7.5, 8.0, 8.0, 8.0, 8.5, 9.0, 9.0, 9.5, 9.5, 9.5, 9.5, 9.5, 10.0, 10.0, 10.5, 10.5, 10.5, 11.0, 11.5, 12.0, 12.5, 12.5, 13.0, 13.5

(1 point)
Responses

Q1
: 8.75; Q2
: 9.75; Q3
: 11.25
upper Q subscript 1 : 8.75; upper Q subscript 2 : 9.75; upper Q subscript 3 : 11.25

Q1
: 9.0; Q2
: 9.75; Q3
: 11.0
upper Q subscript 1 : 9.0; upper Q subscript 2 : 9.75; upper Q subscript 3 : 11.0

Q1
: 7.5; Q2
: 9.5; Q3
: 13.25
upper Q subscript 1 : 7.5; upper Q subscript 2 : 9.5; upper Q subscript 3 : 13.25

Q1
: 8.75; Q2
: 9.5; Q3
: 11.25

Answer 1

There are 25 values, so the median (Q2) is the 13th value = 9.5.

Lower half (first 12 values) has median = average of 6th and 7th values = (8.5 + 9.0)/2 = 8.75 → Q1 = 8.75.

Upper half (last 12 values) has median = average of its 6th and 7th values = (11.0 + 11.5)/2 = 11.25 → Q3 = 11.25.

Final: Q1 = 8.75, Q2 = 9.5, Q3 = 11.25.