GATE ME 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 typically measured by the spread of the data. The batsman with the lowest standard deviation is considered the most consistent as their scores vary the least from their average.Comparing the standard deviation values from the table:
- K: 5.21
- L: 6.35
- M: 6.22
- N: 5.90
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