What is the value of the z-score for x = 125 if population mean and variance are 121 and 4 respectively?
1
The z-score is \(z=\dfrac{x-\mu}{\sigma}\) with \(\sigma=\sqrt{\text{variance}}=\sqrt{4}=2\).
\[z=\frac{125-121}{2}=2\]
The computed value is 2, but the marked option is 1; the answer key appears inconsistent with the stated data.
Consider the following statements:
1. Coefficient of variation depends on the unit of measurement of the variable.
2. Range is measure of dispersion.
3. Mean deviation is least when measured about median.
Which of the above statements are correct?In a study of two groups, the following results were obtained:
Group A | Group B | |
Sample size | 20 | 25 |
Sample mean | 22 | 23 |
Sample standard deviation | 10 | 12 |
Which of the following statements is correct?