GATE CSE
First time here? Checkout the FAQ!
x
0 votes
234 views

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 (29.2k points)   | 234 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 (8.9k 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
M??

......................
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 (271 points)  


Top Users Apr 2017
  1. akash.dinkar12

    3752 Points

  2. Divya Bharti

    2618 Points

  3. Deepthi_ts

    2162 Points

  4. rude

    1966 Points

  5. Tesla!

    1768 Points

  6. Sanjay Sharma

    1646 Points

  7. Debashish Deka

    1614 Points

  8. Shubham Sharma 2

    1610 Points

  9. Prashant.

    1554 Points

  10. Kapil

    1528 Points

Monthly Topper: Rs. 500 gift card

22,100 questions
28,082 answers
63,368 comments
24,203 users