18. The weights (in kg) of 15 students of a class are 38, 42, 35, 37, 45, 50, 32, 43, 43, 40, 36, 38,43, 38, 47. Find the range an

Question

18. The weights (in kg) of 15 students of a
class are 38, 42, 35, 37, 45, 50, 32, 43, 43,
40, 36, 38,43, 38, 47. Find the range and
median of given data.​

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Amara 1 week 2021-09-13T16:41:18+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-13T16:42:33+00:00

    Step-by-step explanation:

    We know that,

    Range=(Largest observation-Smallest observation)

    So,

    Range=50-32=18

    We know that,

    After rearranging the given observations in ascending order,If the number of observations(n) is odd,

    median =  (\frac{n + 1}{2} )th \: term \:  \\ from \: beginning

    So,In ascending order,the observations

    are

    32,35,36 ,37, 38, 38, 38, 40 ,42 ,43, 43, 43, 45, 47 ,50

    Since,there are 15 observations in total,

    median =(  \frac{15 + 1}{2} )th \: term

    So,

    median = 8th \: term

    The 8 th term from beginning is 40.

    Hence,

    40 is the median of the given data.

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