Question

Susannah made the line plot below to show the distances she hiked each day in the past two weeks.

What is the total number of miles she hiked?

Answer 1

Answer: 87
`(3)/(4)`

Explanation:

5
`(1)/(4)` x 3 = 21/4 x 3 = 63/4 = 15
`(3)/(4)`

5
`(2)/(4)` x 2 = 22/4 x 2 = 22/2 = 11

6
`(1)/(4)` x 5 = 25/4 x 5 = 125/4 = 31
`(1)/(4)`

1
`(1)/(4)` x 2 = 29/4 x 2 = 29/2 = 14
`(2)/(4)`

7
`(1)/(2)` x 1 = 7
`(1)/(2)`

7
`(3)/(4)` x 1 = 7
`(3)/(4)`

15
`(3)/(4)` + 11 + 31
`(2)/(4)` + 14
`(2)/(4)` + 7
`(2)/(4)` + 7
`(3)/(4)` = 85
`(11)/(4)` = 87
`(3)/(4)`

Answer 2

`Total = 87(3)/(4)`

Explanation:

Given

See attachment

Required

Total number of distance

This is calculated by multiply each distance by its frequency.

The number of dots represents the frequency

On the line plot, the interval between adjacent points is 0.25.

So, the total distance is:

`Total =5.25 * 3 + 5.5 * 2 + 6.25 * 5 + 7.25 * 2 + 7.5 * 1 + 7.75 * 1`

`Total =87.75`

or

`Total = 87(3)/(4)`