MathematicsThe distribution below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean number of wickets by choosing a suitable method.

The distribution below shows the number of wickets taken by bowlers in one-day cricket matches.


Find the mean number of wickets by choosing a suitable method.


  1. A
    150 or 151
  2. B
    152 or 153
  3. C
    153 or 154
  4. D
    154 or 155 

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    Solution:

    The following data is given:
    As we know that the mean is the average of the given data set.
    For grouped data and by direct method it is computed using,
    Mean= fx f   .
    To find the mean number of wickets, make a table describing the information given and find fi and fixi.
    Substitute fi=45 and fixi=-53 into the formula,
    Mean=a+fixifi×h
    Mean=200+- 5345×40
    Mean=200-47.11
    Mean=152.89
    Therefore, the mean number of wickets is 152 or 153.
    Hence, option 2 is correct.
     
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