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प्रश्न
What is sampling distribution of a statistic?
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
Non-sampling errors can be minimized by taking large samples.
Which of the following methods give better results and why?
Suppose there are 10 students in your class. You want to select three out of them. How many samples are possible?
Discuss how you would use the lottery method to select 3 students out of 10 in your class?
Does the lottery method always give you a random sample? Explain.
Explain the procedure of selecting a random sample of 3 students out of 10 in your class, by using random number tables.
Explain in detail about systematic random sampling with example
Choose the correct alternative:
A ______ may be finite or infinite according as the number of observations or items in it is finite or infinite
Choose the correct alternative:
A ______ of statistical individuals in a population is called a sample
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
