Question

A stem and leaf plot shows the number of kilometers walked for charity. The plot is titled 'Kilometers Walked for Charity.' The numbers 12, 13, 14, 15, 16, and 17 are in a vertical column to the left of a vertical line. · On the same line as 12 but on the right of the vertical line are the numbers 3, 3, 6, 7, 9, and 9. · On the same line as 13 but on the right of the vertical line are the numbers 1, 1, 4, 5, and 5. · On the same line as 14 but on the right of the vertical line are the numbers 0, 0, 2, 3, 3, 8, 8, and 9. · On the same line as 15 but on the right of the vertical line are the numbers 2, 2, 2, 2, 2, 3, 5, 5, and 7. · On the same line as 16 but on the right of the vertical line are the numbers 4, 5, 5, 9, and 9. · On the same line as 17 but on the right of the vertical line are the numbers 3 and 5. The key to the stem and leaf plot identifies that 12 vertical line 3 means 12.3. a. Describe how to find the range of the data set. b. Find the range.

Answer 1

For part A: Range is difference between the highest value and lowest value of the data set.

For part B: Range is 5.2

Explanation:

For part A:

Range of a data set is difference between the highest value and lowest value of the data set.

For part B:

From stem and leaf and it's key ,we can write our data set as

12.3,12.3,12.612.7,12.9,12.9,13.1,13.1,13.4,13.5,13.5,14.0,14.0,14.2,14.3,14.3,14.8,14.8,14.9,15.2,15.2,15.2,15.2,15.2,15.3,15.5,15.5,15.7,16.4,16.5,16.5,16.9, 16.9, 17.3,17.5.

Lowest value of data set = 12.3

Highest value of the data set =17.5

So, range = highest value- lowest value= 17.5-12.3 =5.2