﻿ Stem and Leaf Plot Worksheet | Problems & Solutions

# Stem and Leaf Plot Worksheet

Stem and Leaf Plot Worksheet
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1.
A few students of a class scored 55, 85, 80, 87, 87, 100, 103 and 133 in biological science. If the scores are represented using a stem-and-leaf plot, find the stems.
 a. 5, 8, 10, 13, 14 b. 4, 5, 8, 10 c. 5, 8, 10, 13 d. 5, 8, 10

#### Solution:

The stems of given data are the unique left most digits of the values given.

So, stems of the scores are 5, 8, 10 and 13.

2.
The table represents the number of patients (per 1000 people) suffering from cancer during the years 1992 to 1997. Pick the appropriate stem and leaf plot representing the data.
 Year Cancer patients (per 1000 people) 1992 20 1993 23 1994 19 1995 24 1996 21 1997 13

 a. Figure 1 b. Figure 2 c. Figure 3 d. Figure 4

#### Solution:

To draw a stem and leaf plot, divide the numbers into stems and leaves.

The digits in the one's place of the numbers are the leaves and the remaining left most digits are the stems.

List the unique stems of the numbers in the increasing order.

Write the leaves for each stem in the increasing order.

The stem and leaf plot of the data will be as shown in Figure 1.

3.
Pick the appropriate rotated stem and leaf plot of the stem and leaf plot.

 a. figure 1 b. figure 2

#### Solution:

In a rotated stem and leaf plot, the stems are written below the line and the corresponding leaves of each stem are written above the line.

The stem and leaf plot, when rotated, will be as shown in Figure 1.
[Compare all the stems and leaves in the rotated figures with those in the original stem and leaf plot.]

So, Figure 1 is the appropriate rotated stem and leaf plot for the stem and leaf plot.

4.
Use the data values to plot a stem and leaf diagram. Compare it to the stem and leaf plot and find the error(s) in this plot.130, 90, 141, 128, 133, 142, 113, 148, 105, 93
118, 130, 133, 100, 124, 146, 97, 108, 126, 115
136, 144, 114, 101, 93, 108, 95, 143, 128
(1) One data value in the row with stem '11' is missing.
(2) There is an additional leaf value '4' in the row with stem value '14'.

 a. Both (1) and (2) b. Only(2) c. Only (1) d. Neither (1) nor (2)

#### Solution:

The leaf of a number is usually the rightmost digit.

The stem is the leftmost portion of the number.

The stems in the data are 9, 10, 11, 12, 13 and 14.

The leaves in the data are 0, 0, 1, 8, 3, 2, 3, 8, 5, 3, 8, 0, 3, 0, 4, 6, 7, 8, 6, 5, 6, 4, 4, 1, 3, 8, 5, 3 and 8.

The data value '114' is not plotted at all and '144' is plotted 2 times.
[Compare the data with the stem and leaf plot given.]

Errors in the plot are both (1) and (2).

5.
The serving speed (miles per hour) of some of the tennis players who participated in a tennis tournament are 128, 129, 130, 131, 132, 133, 134, 135, 136, 137 and 138. Which of the stem and leaf plots represents the data correctly?

 a. Plot 1 b. Plot 2 c. Plot 3 d. Plot 4

#### Solution:

As all the numbers are three digit numbers, the digits in the tens and hundreds places will be the stems and the ones digits will be the leaves.

The stems of the data values are 12 and 13 and the leaves are 8, 9, 0, 1, 2, 3, 4, 5, 6, 7 and 8.
[All data values are greater than 120 and less than 140.]

List the unique stems and the corresponding leaves of each stem in the increasing order.

So, Plot 2 is the stem and leaf plot representing the data correctly.

6.
Which one is the double stem and leaf representation of the bar graph?

 a. plot 1 b. plot 2

#### Solution:

From the bar graph, the leather produced in lots by Magnanin Company in the successive years from 1996 to 1999 are 15, 25, 60, 40 and the leather produced in lots by Orpheous Company are 30, 20, 25, 45.

In a two-digit number, tens digit is the stem and the ones digit is the leaf.

Plot the leaves for the leather produced by Orpheous Company to the right of the stem and the leaves for the leather produced by Magnanin Company to the left of the stem.

Plot 1 is the stem-and-leaf representation of the bar graph.

7.
The stem and leaf plot shows the number of toys with the children in a baby care center. Find the median of all the data values.

 a. 22 b. 25 c. 24 d. 20

#### Solution:

The ordered data given in the above stem and leaf plot is 12, 15, 15, 16, 16, 17, 18, 20, 20, 20, 20, 22, 25, 26, 30, 31, 31, 31, 33, 35, 35, 38, 48, 48 and 49.
[Attach the each leaf to the corresponding stem and arrange from the least to the greatest.]

The median is the middle value in an ordered data set.

The data set contains 25 data values. So, the median will be the 13th data value.

So, the median of the data set is 25.

8.
The table shows the car sales in each month of the year. Identify the stem-and-leaf plot representing the data.
 Month Number of cars sold January 65 February 74 March 62 April 72 May 71 June 56 July 83 August 69 September 57 October 86 November 65 December 58

 a. Graph 2 b. Graph 3 c. Graph 4 d. Graph 1

#### Solution:

The data values in the ascending order are 56, 57, 58, 62, 65, 65, 69, 71, 72, 74, 83 and 86.
[Arrange from the least to the greatest.]

The stems for the data are 5, 6, 7 and 8.
[Stems are the unique left most digits in the data.]

The leaves for the stem 5 are 6, 7, 8, for the stem 6 are 2, 5, 5, 9, for the stem 7 are 1, 2, 4 and for the stem 8 are 3, 6.
[Leaves are the right most digits of the data values.]

To make a stem and leaf plot, list the unique stems and the corresponding leaves for each stem in the ascending order.

The stem-and-leaf plot for the data is as shown.

So, Graph 1 is the stem-and-leaf plot representing the given data.

9.
The scores of eight students on a math test are shown below.
23, 30, 30, 35, 34, 53, 47, 40

Which stem-and-leaf plot correctly represents the data?

 a. Graph 3 b. Graph 4 c. Graph 2 d. Graph 1

#### Solution:

The data values in the ascending order are 23, 30, 30, 34, 35, 40, 47, and 53.
[Arrange from the least to the greatest.]

The stems for the data are 2, 3, 4, and 5.
[Stems are the unique left most digits in the data.]

The leaves for the stem 2 is 3, for the stem 3 are 0, 0, 4, 5, for the stem 4 are 0, 7, and for the stem 5 is 3.
[Leaves are the right most digits of the data values.]

To make a stem and leaf plot, list the unique stems and the corresponding leaves for each stem in the ascending order.

The stem-and-leaf plot for the data is as shown.

So, Graph 3 is the stem-and-leaf plot of the given data.

10.
The number of books issued in a library for 10 days is represented in the stem-and-leaf plot. How many more books were issued on the 8th day than on the 4th day?

 a. 6 b. 11 c. 3 d. 7

#### Solution:

The data values from the stem-and-leaf plot are 12, 16, 24, 29, 32, 32, 33, 35, 36, and 38.

Number of books issued on the 4th day = 29

Number of books issued on the 8th day = 35

Difference = 35 - 29 = 6
[Subtract.]

So, 6 more books were issued on the 8th day than on the 4th day.