First time here? Checkout the FAQ!
0 votes

The statistics of runs scored in a series by four batsmen are provided in the following table. Who is the most consistent batsman of these four?

  Batsman    Average    Standard deviation
      K  31.2   5.21
      L  46.0   6.35
     M  54.4   6.22
     N  17.9   5.90
  1. K
  2. L
  3. M
  4. N


asked in Numerical Ability by Veteran (29k points)   | 207 views

4 Answers

+3 votes
Best answer
I think the answer is A. K

Average only gives the mean value, Standard Deviation gives how close to mean value (consistency) of a sample population distribution.

A standard deviation close to 0 means very close to mean value of a distribution.

Here K has the lowest SD (5.21)
answered by Boss (8.8k points)  
selected by
@ Arjun sir, I think this ans is wrong.

my answer is C.

here, we have to consider the coefficient of variation..
+1 vote

Most consistent is the least dispersion in the scores. We have a parameter called Coefficient of Variance which is used to measure relative measure of dispersion between two sets.

Coefficient of Variance(CV) = $\frac{Standard Deviation}{Mean}$

Calculating it for all the four players.

K's CV = 0.167

L's CV = 0.138

M's CV = 0.114

N's CV = 0.329

Larger the value of CV, less consistent the player is.

So the most consistent player is M here

Option C

answered by (121 points)  
0 votes

answered by Active (1.8k points)  
0 votes
answer is C..

consistent batsman means indirectly asking for lesser coefficient of variance.

coefficient of variance (CV) =standard deaviation/mean

K's CV=0.16

L's CV=0.13

M's CV=0.11

N's CV=0.32

so ans should be C..
answered by (253 points)  
Top Users Feb 2017
  1. Arjun

    5224 Points

  2. Bikram

    4230 Points

  3. Habibkhan

    3748 Points

  4. Aboveallplayer

    2986 Points

  5. Debashish Deka

    2356 Points

  6. sriv_shubham

    2298 Points

  7. Smriti012

    2142 Points

  8. Arnabi

    2008 Points

  9. sh!va

    1654 Points

  10. mcjoshi

    1628 Points

Monthly Topper: Rs. 500 gift card

20,832 questions
25,989 answers
22,046 users