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प्रश्न
What is sampling distribution of a statistic?
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उत्तर
The sampling distribution of a statistic is the probability distribution of a given random sample-based statistic.
It may be considered as the distribution of the statistic for all possible samples from the same population of a given sample size.
For example, the sampling distribution of the mean for n = 2 is given below:
| Sample No. | Outcomes | Sample mean `bar("X")_"i"` |
| 1 | 1, 3 | 2 |
| 2 | 1, 9 | 5 |
| 3 | 3, 9 | 6 |
| 4 | 6, 7 | 6.5 |
| 5 | 7, 10 | 8.5 |
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| 1904 | 1559 | 3473 | 1735 | 2760 |
| 2041 | 1612 | 1753 | 1855 | 4439 |
| 5090 | 1085 | 1823 | 2346 | 1523 |
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| 1293 | 1365 | 1146 | 3222 | 1396 |
Monthly Household Expenditure (in Rupees) on Food of 50 Households
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(b) more than Rs 3000
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