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In a rain-delayed match, the actual score of a cricket match is adjust

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In a rain-delayed match, the actual score of a cricket match is adjust  [#permalink]

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New post Updated on: 12 Aug 2018, 23:06
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (00:51) correct 6% (01:41) wrong based on 52 sessions

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Solve any Mean and Standard deviation question under a minute- Exercise Question #5

5-In a rain-delayed match, the actual score of a cricket match is adjusted by the D-L method that increases the actual score of a team by 40% and further adds 6 more runs. If all the 11 players batted and the standard deviation of the actual runs scored by Australian team is 30 then what is standards deviation according to the adjusted score?

Options

    a) 34
    b) 35
    c) 40
    d) 42
    e) 45

To solve all the practice questions Solve any Mean and Standard deviation question under a minute - Practice Questions


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Originally posted by EgmatQuantExpert on 04 Jul 2018, 06:53.
Last edited by EgmatQuantExpert on 12 Aug 2018, 23:06, edited 2 times in total.
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Re: In a rain-delayed match, the actual score of a cricket match is adjust  [#permalink]

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New post 04 Jul 2018, 06:53

Solution



Given:

    • Due to rain, actual scores are increased by 40% and then added by 6.
    • Standard deviation according to actual score is 30.

To find:

    • Standard deviation according to adjusted score.

Approach and Working:

    • Adjusted score= Actual score* (1+\(\frac{40}{100}\))+6
      o As actual score of all the players if getting multiplied by (1+\(\frac{40}{100}\)), hence standard deviation will also get multiplied by (1+40/100).
         New standard deviation= 30*(1+\(\frac{40}{100}\)) = 42
      o Now, 6 is further added to adjusted score of all the players.
         However, standard deviation remains the same when same number is added to all the elements.

    • Thus, new standard deviation= 42

Hence, the correct answer is option D.

Answer: D
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Re: In a rain-delayed match, the actual score of a cricket match is adjust &nbs [#permalink] 04 Jul 2018, 06:53
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