If you are given the following stem and leaf display and asked to construct a frequency distribution chart, what would be the width of the i

Question

If you are given the following stem and leaf display and asked to construct a frequency distribution chart, what would be the width of the intervals?

1-332

2-45

3-1157

4-231

5-2112

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Amelia 20 mins 2022-01-12T12:03:25+00:00 1 Answer 0 views 0

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    2022-01-12T12:04:37+00:00

    Answer:

    Width of intervals: 8

    Step-by-step explanation:

    We first look at how data is represented in a stem-leaf diagram.

    Any number of the left (before -) is the stem and all numbers on right (after -) are the leaves. Each combination of stem and leaf represents one number. For example: 1 – 332 represents: 13, 13, 12.

    Our data is as follows:

    13, 13, 12, 24, 25, 31, 31, 35, 37, 42, 43, 41, 52, 51, 51, 52

    To calculate the width of the frequency distribution chart, we have the following formula:

    Class\ width = \frac{Range}{Number\ of\ classes}

    The range of any data set = Maximum value in the data set – Minimum value in the data set

    Maximum value in this case as seen from the data is 52 and minimum is 12.

    Range = 52 – 12 = 40

    Since we had only 5 stems in the data, we shall use that as the number of classes required in the frequency distribution chart.

    Class\ width = \frac{40}{5}  = 8

    Hence, the class width in this data set will be 8.

    To make the intervals, we begin from the minimum value and add 8 to it. The intervals will be:

    12 – 20

    20 – 28

    28 – 36

    36 – 44

    44 – 52

    Observe, that all the values of the stem lie within each interval.

    For example, there are 3 values for stem 1: 12, 13, 13 and each lie in the first interval 12 – 20.

    Next, the values of stem 2 are 24 and 25. Each of these value lie in the second interval 20 – 28; and henceforth.

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45:7+7-4:2-5:5*4+35:2 =? ( )