GATE EC 2014 Set 1 — Question 4
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Engineering Mathematics → Quantitative Aptitude → Elementary Statistics & Probability
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Question
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 |
Correct answer
(A) K
Solution
Consistency in statistics is measured by the standard deviation. A lower standard deviation indicates that the data points are closer to the mean, representing more consistent performance. Comparing the standard deviation values for the four batsmen:
- Batsman K:
- Batsman L:
- Batsman M:
- Batsman N:
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