Which one is parameter from population?
Population characteristics are called parameters (Greek letters); sample characteristics are called statistics (Roman letters).
\(\bar{X}\) is the sample mean, \(S\) is the sample standard deviation, and \(p\) denotes the sample proportion — all statistics. Only \(\sigma\), the population standard deviation, is a parameter from the population.
For a group of 5 male residents in a society, the mean and standard deviation of their ages are 63 years and 9 years, respectively. For a group of 4 female residents, these values are 54 years and 6 years, respectively. The variance of the combined group of male and female residents is:
Factory A and Factory B employ 476 and 524 employees. respectively. The average weekly salary of an employee in Factory A is $34.5 whereas for an employee in Factory B it is $28.5, The standard deviation in paying the individual salary has been recorded as $5 and $4.5 for Factory A and Factory B, respectively. Which factory has greater variability in paying individual salary?
Among the options for parameters, which option is correct for population?
The mean and standard deviation (s.d.) of runs scored by three batsmen A, B and C in 9 consecutive matches are given below,
| Batsman | Mean | s.d. |
| A | 40 | 4 |
| B | 64 | 8 |
| C | 72 | 12 |
Which of these statements on variation is INCORRECT?
If the mean and the standard deviation of n observations x 1, x 2, _ _ _ _ _, x nbe x̅ and σ respectively, then the mean and standard deviation of -x 1, -x 2, -x 3, _ _ _ _ _, -x nare, respectively,:
In a class of 50 students, the marks obtained are
Marks | 15 | 30 | 37 | 40 | 45 | 48 |
No. of students | 2 | 8 | 14 | 12 | 10 | 4 |
Its median is
Let X be a normal random variable with mean zero and variance 9. If a = P(X ≥ 3) then P(|X| ≤ 3) equals:
Find the median if the given data set is:
3, 3, 7, 8, 12, 13, 16, 19
A machine produces 0, 1 or 2 defective pieces in a day with an associated probability of \(\frac{{1}}{{6}}\), \(\frac{{2}}{{3}}\) and \(\frac{{1}}{{6}}\) respectively. The mean value and the variance of the number of defective pieces produced by the machine in a day, respectively, are
The median of 7, 5, 8, x, 12, 17 is 10, then what is the value of x?