Question

Use the following stem and leaf plot to write out the individual numbers and calculate the mean, median and range for the data

Stem and leaf plot
4 1
5 2 7 8
6 5 6
7 0 5 8
8 0 1
9 5

Use the stem and leaf plot to the right to answer the questions below.

A. How many data values are in the set?

B. What is the greatest and least value from the set?

C. What is the median and range?

D. Is the value 85 in the data set? Explain.

Answer 1

Part A

Answer: 12

Explanation: Count the number of leaves.

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Part B

Answers: Greatest = 95 , least = 41

Reason:

Look at the largest stem (9) and the largest leaf of this largest stem (5).

This forms the largest value of 95.

The smallest value is 41 since it corresponds to the smallest stem and smallest leaf.

The term "min" and "max" are often used here.

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Part C

Answers: Median = 68, range = 54

Step-by-step explanation:

The data set is

41, 52, 57, 58, 65, 66, 70, 75, 78, 80, 81, 95

There are n = 12 items in this set.

Splitting in half gets us n/2 = 12/2 = 6.

The item in slot 6 is 66, and the next item over is 70.

The midpoint of these values is the median. (66+70)/2 = 68.

This midpoint rule only applies if n is even.

To find the range, we subtract the largest and smallest items.

range = max - min = 95 - 41 = 54

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Part D

Answer: No, 85 is not in the data set

Reason:

The stem 8 doesn't have a leaf of 5 attached to it.

It only has the leaves 0 and 1 to form the numbers 80 and 81.