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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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संबंधित प्रश्न
There is a certain bias involved in the non-random selection of samples.
Give two examples each of sample, population and variable.
Which of the following methods give better results and why?
Explain the procedure of selecting a random sample of 3 students out of 10 in your class, by using random number tables.
What is population?
Explain in detail about systematic random sampling with example
Explain in detail about non-sampling error
Choose the correct alternative:
A random sample is a sample selected in such a way that every item in the population has an equal chance of being included
Explain the types of sampling
Use the data in the Table below that relate to monthly household expenditure (in Rs) on the food of 50 households and
| 1904 | 1559 | 3473 | 1735 | 2760 |
| 2041 | 1612 | 1753 | 1855 | 4439 |
| 5090 | 1085 | 1823 | 2346 | 1523 |
| 1211 | 1360 | 1110 | 2152 | 1183 |
| 1218 | 1315 | 1105 | 2628 | 2712 |
| 4248 | 1812 | 1264 | 1183 | 1171 |
| 1007 | 1180 | 1953 | 1137 | 2048 |
| 2025 | 1583 | 1324 | 2621 | 3676 |
| 1397 | 1832 | 1962 | 2177 | 2575 |
| 1293 | 1365 | 1146 | 3222 | 1396 |
Monthly Household Expenditure (in Rupees) on Food of 50 Households
Find the number of households whose monthly expenditure on food is
(b) more than Rs 3000
(c) between Rs 1500 and Rs 2500
