Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 miles per hou

Question

Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 47.3 miles per hour.Speed (miles per hour) 42-45 46-49 50-53 54-57 58-61Frequency 21 15 6 4 2The mean of the frequency distribution miles ______ per hour. (Round to the nearest tenth as needed.)Which of the following best describes the relationship between the computed mean and the actual mean?A. The computed mean is not close to the actual mean because the difference between the means is more than 5%.B. The computed mean is not close to the actual mean because the difference between the means is more than 5%.C. The computed mean is not close to the actual mean because the difference between the means is less than 5%.D. The computed mean is close to the actual mean because the difference between the means is less than 5%.

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Mít Mít 4 years 2021-08-12T20:35:29+00:00 1 Answers 23 views 0

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  1. minhkhoi
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    2021-08-12T20:36:38+00:00
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    Answer:

    47.4167

    D. The computed mean is close to the actual mean because the difference between the means is less than 5%

    Step-by-step explanation:

    Given the distribution :

    Speed(m/hr) ___ midpoint(x) ___ F ___fx

    42 – 45 _______ 43.5 ________21 __ 913.5

    46 – 49 _______47.5 _________15 __712.5

    50 – 53 _______ 51.5 _________6 __ 309

    54 – 57 _______ 55.5 ________ 4 ___ 222

    58 – 61 ________59.5 ________ 2 ___ 119

    The midpoint, x= sum of lower and upper boundary divided by 2

    For instance, (42 + 45) / 2 = 43.5

    The computed mean, Σfx / Σf = 2276 / 48 = 47.4167

    Actual mean = 47.3 miles

    (47.4167 – 47.3) / 47.3 * 100% = 0.24%

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