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प्रश्न
Ten students appeared for a test in Mathematics and Statistics and they obtained the marks as follows:
| Sr. No. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Marks in Mathematics | 42 | 38 | 36 | 32 | 23 | 25 | 35 | 37 | 25 | 23 |
| Marks in Statistics | 22 | 26 | 29 | 34 | 50 | 45 | 23 | 28 | 32 | 36 |
If the median will be the criteria, in which subject, the level of knowledge of the students is higher?
उत्तर
Marks in Mathematics can be arranged in ascending order as follows:
23, 23, 25, 25, 32, 35, 36, 37, 38, 42
Here, n = 10
∴ Median = value of `(("n"+1)/2)^"th"` observation
= value of `((10+1)/2)^"th"` observation
= value of (5.5)th observation
= value of 5th observation + 0.5 (value of 6th observation – value of 5th observation)
= 32 + 0.5 (35 – 32)
= 32 + 0.5(3)
= 32 + 1.5
= 33.5
Marks in Statistics can be arranged in ascending order as follows:
22, 23, 26, 28, 29, 32, 34, 36, 45, 50
Here, n = 10
∴ Median = value of `(("n"+1)/2)^"th"` observation
= value of `((10+1)/2)^"th"` observation
= value of (5.5)th observation
= value of 5th observation + 0.5 (value of 6th observation – value of 5th observation)
= 29 + 0.5 (32 – 29)
= 29 + 0.5(3)
= 29 + 1.5
= 30.5
∴ Median marks for Mathematics = 33.5
and Median marks for Statistics = 30.5
∴ The level of knowledge in Mathematics is higher than that of Statistics.
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