Question

What percent of values are less than or equal to 5.8 in the following stem and leaf plot?

3 | 7 7 8 9 Key: 3 | 7 = 3.7
4 | 0 1 2 5 6 9
5 | 2 4 4 8 9 9
6 | 1 1 3 5

You may answer using a percent or a decimal.

Answer 1

`70\%`

Explanation:

From the given stem and leaf plot, we can write the following data set:

3.7, 3.7,3.8,3.9,4.0,4.1,4.2,4.5,4.6,4.9,5.2,5.4,5.4,5.8,5.9,5.9,6.1,6.1,6.5

We have 20 data sets.

The number values that are below 5.8 are :

3.7, 3.7,3.8,3.9,4.0,4.1,4.2,4.5,4.6,4.9,5.2,5.4,5.4,5.8

There are 14 of them.

Therefore there are 14 out 20 that are less than or equal to 5.8

That is

`(14)/(20) = (7)/(10) = 0.7`

As a percentage, there are:

`0.7 * 100\% = 70\%`