Question

Sam volunteers at an animal shelter. He created a line plot to show the weights in pounds of the kittens at the shelter.

Line plot named as ALTDCWeights of Kittens in ShelterALTDC shows a number line from half to two and half. The number line is divided into 4 equal parts. 3 dots on half, 2 dots on 1 and 1 dot on one and half is given.


What is the total weight of the kittens in the shelter?

Answer 1

The total weight is 5kg

Explanation:

Given

See attachment for box plot

Required

Determine the total weight of the kitten

First, we represent the plot in the following table where the number of dots represent the frequency.

So, we have:

`Weight \to Frequency`

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

`1 \to 2`

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

`2 \to 0`

`2(1)/(2) \to 0`

Multiply the weight by the frequency, then add up the result

So, we have:

`Total = (1)/(2) * 3 + 1 * 2 + 1(1)/(2) * 1 + 2 * 0 + 2(1)/(2) * 0`

`Total = 1(1)/(2) + 2 + 1(1)/(2) + 0 + 0`

`Total = 1(1)/(2) + 2 + 1(1)/(2)`

Express as improper fraction

`Total = (3)/(2) + 2 + (3)/(2)`

Take LCM

`Total = (3+4+3)/(2)`

`Total = (10)/(2)`

`Total = 5kg`