Question

Based on the cumulative frequency histogram, determine the number of swimmers who swam between 200 and 249 yards. Determine the number of swimmers who swam between 150 and 199 yards. Determine the number of swimmers who took the swim test.

Answer 1

`(a)\ 200 \to 249 =3`

`(b)\ 150 \to 199 = 0`

`(c)\ Total = 20`

Explanation:

Given

See attachment for cumulative frequency histogram

Solving (a): Swimmers between 200yd and 249yd

To do this, we simply read the data from the 0 mark

From the histogram, we have:

`0 \to 249 = 15`

and

`0 \to 199 = 12`

So:

`200 \to 249 = 0 \to 249 - 0 \to 199`

This gives:

`200 \to 249 = 15-12`

`200 \to 249 =3`

Solving (b): Swimmers between 150yd and 199yd

To do this, we simply read the data from the 0 mark

From the histogram, we have:

`0 \to 149 = 12`

and

`0 \to 199 = 12`

So:

`150 \to 199 = 0 \to 199 - 0 \to 149`

This gives:

`150 \to 199 = 12-12`

`150 \to 199 = 0`

Solving (c): Total swimmers

To do this, we simply read the longest bar of the histogram

`Longest = 20`

Hence:

`Total = 20`