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The stem-and-leaf plot shows kilometers walked by participants in a charity benifit walk. Use it to answer the questions. a. How many people participated in the walk? b. How many of the walkers traveled more than 14 Kilometers?

User Meriadec
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1 Answer

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The plot is missing. I have written the stem-leaf plot below.

Answer:

(a) 35 participants

(b) 22 participants traveled more than 14 km.

Explanation:

Given:

(a)

The stem-leaf plot is given as:

12| 3 3 6 7 9 9

13| 1 1 4 5 5

14| 0 0 2 3 3 8 8 9

15| 2 2 2 2 2 3 5 5 7

16| 4 5 5 9 9

17| 3 5

The total number of numbers on the leaf side gives the total number of participants.

So, the number of participants is equal to the total number of elements on the leaf part. The total number of elements on the leaf part is 35.

Therefore, the total number of participants is 35.

(b)

Given:

12| 3 3 6 7 9 9

13| 1 1 4 5 5

14| 0 0 2 3 3 8 8 9

15| 2 2 2 2 2 3 5 5 7

16| 4 5 5 9 9

17| 3 5

One element of the stem part and one part of leaf part is represented as:

12 | 3 means 12.3 km

So, the number of walkers traveling more than 14.0 km is the list of all numbers greater than 14.0 km. Let us write all the numbers which are greater than 14.0 km. The numbers are:

14 | 2 3 3 8 8 9 = 6 participants

15 | 2 2 2 2 2 3 5 5 7 = 9 participants

16 | 4 5 5 9 9 = 5 participants

17 | 3 5 = 2 participants

Therefore, the total number is the sum of all the above which is equal to:

= 6 + 9 + 5 + 2 = 22 participants

User Gthm
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