Question

Construct a​ stem-and-leaf plot of the test scores 67 comma 72 comma 85 comma 75 comma 89 comma 89 comma 87 comma 90 comma 99 comma 100. How does the​ stem-and-leaf plot show the distribution of these​ data? Construct the​ stem-and-leaf plot. Choose the correct answer below. A. Stem Leaves 6 6 7 2 5 8 5 9 9 7 9 0 7 10 0 B. Stem Leaves 6 7 7 2 6 8 5 6 9 7 9 0 9 10 0 C. Stem Leaves 6 7 7 2 5 8 5 7 9 9 9 0 9 10 0 D. Stem Leaves 6 7 7 2 5 8 5 9 9 6 9 0 9 10 0 How does the​ stem-and-leaf plot show the distribution of these​ data? A. The lengths of the rows are similar to the heights of bars in a​ histogram; longer rows of data correspond to smaller frequencies. B. The lengths of the rows are similar to the widths of bars in a​ histogram; longer rows of data correspond to higher frequencies. C. The lengths of the rows are similar to the widths of bars in a​ histogram; longer rows of data correspond to smaller frequencies. D. The lengths of the rows are similar to the heights of bars in a​ histogram; longer rows of data correspond to higher frequencies.

Answer 1

Answer:

Option C. Stem Leaves 6 7 7 2 5 8 5 7 9 9 9 0 9 10 0

Option D.

Step-by-step explanation:

The data values are 67, 72, 85, 75, 89, 89, 87, 90, 99 and 100.

Arranging the data values in ascending order

67, 72, 75, 85, 87, 89, 89, 90, 99, 100

The stem and lead plot can be shown under and stem is denoted as "S" whereas leaves are denoted as "L".

S  L

6  7

7  2 5

8  5 7 9 9

9  0 9

10  0

The longer row of stem indicates the higher frequencies and so the length of rows are similar to the heights of bars in histogram.

Answer 2

A stem and leaf plot is used to represent data, and it is similar to a histogram.

The stem-and-leaf plot is as follows:

Stem        Leaf

6               7

7                2, 5

8                5, 7, 9, 9

9                0, 9

10               0

The distribution of the data is that:

• The lengths of the rows represent the height of the bars in the histogram
• The longer the row, the higher the frequency.

Given:

67, 72, 85, 75, 89, 89, 87, 90, 99, 100

A stem-and-leaf plot is represented as:

Stem ------ Leaf.

To plot this, we make use of the ten's of the given dataset as the stem, while the units will be used as the leaf.

So, we have:

67

72, 75

85, 87, 89, 89

90, 99

100

The stem-and-leaf plot is as follows:

Stem        Leaf

6               7

7                2, 5

8                5, 7, 9, 9

9                0, 9

10               0

By comparing the stem-and-leaf plot to a histogram:

• The lengths of the rows represent the height of the bars in the histogram
• The longer the row, the higher the frequency.

Hence, (d) is correct.

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