Question

Dash collects data on the hair lengths of a random sample of seventh-grade boys in his school.

The data are clustered between and inches and between and inches. Dash can infer from the data that seventh-grade boys in his school have both short and long hair.

Answer 1

`First\ interval: (1)/(2) \to 2 \ inches`

`Second \ interval: 3(1)/(2) \to 4(1)/(2) \ inches`

Explanation:

Given

See attachment for complete question

Required

Complete the blanks

To do this, we simply consider the intervals of the hair lengths where they are lots of data; i.e. where frequency is greater than 1

For the first cluster, we can select the following interval

`(1)/(2) \to 2`

Because;

hair length
`(1)/(2)` has a frequency of 3

and the data continues till hair length 2 which has a frequency of 2

For the second cluster, we can select the following interval

`3(1)/(2) \to 4(1)/(2)`

Because;

hair length
`3(1)/(2)` has a frequency of 3

and the data continues till hair length
`4(1)/(2)` which has a frequency of 2

Note that, hair lengths with 0 or 1 as their frequency were not selected as part of the cluster