MCQOPTIONS
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MCQOPTIONS
This section includes 12 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The mean of 5 observations is 3 and variance is 2. If three of the five observations are 1, 3, 5, find the other two. |
| A. | 2, 6 |
| B. | 3, 3 |
| C. | 1, 5 |
| D. | 2, 4 |
| Answer» E. | |
| 2. |
The mean and Standard deviation of a sample were found to be 9.5 and 2.5, respectively. Later, an additional observation 15 was added to the original data. Find the S.D. of the 11 observation. |
| A. | 2.6 |
| B. | 2.8 |
| C. | 2.86 |
| D. | 3.24 |
| Answer» D. 3.24 | |
| 3. |
The change in which of following terms does not affect the standard deviation? |
| A. | Origin |
| B. | Scale |
| C. | Origin and scale |
| D. | Neither origin nor scale |
| Answer» B. Scale | |
| 4. |
If the S.D. is a set of observations is 4 and if each observation is divided by 4, find the S.D. of the new observations. |
| A. | 4 |
| B. | 3 |
| C. | 2 |
| D. | 1 |
| Answer» E. | |
| 5. |
What is the median and standard deviation of a distribution are 50 and 5 respectively, if each item is increased by 4. |
| A. | Median will increase and S.D. will increase |
| B. | Both will remain same |
| C. | median will go up by 2 but S.D. will remain same |
| D. | median will increase and S.D. will decrease |
| Answer» D. median will increase and S.D. will decrease | |
| 6. |
A fisherman is weighing each of 50 fishes. Their mean weight worked out is 50 gm and a standard deviation of 2.5 gm. Later it was found that the measuring scale was misaligned and always under reported every fish weight by 2.5 gm. Find the mean and standard deviation of fishes. |
| A. | 52.5,2.5 |
| B. | 30,5 |
| C. | 50,5 |
| D. | 48.5,2.5 |
| Answer» B. 30,5 | |
| 7. |
Assuming the variance of four numbers w, x, y, and z as 9. Find the variance of 5w, 5x, 5y and 5z. |
| A. | 225 |
| B. | 5/9 |
| C. | 9/5 |
| D. | 54 |
| Answer» B. 5/9 | |
| 8. |
If the standard deviation of the numbers 2, 4, 5 & 6 is a constant a, then find the standard deviation of the numbers 4, 6, 7 & 8. |
| A. | a + 2 |
| B. | 2a |
| C. | 4a |
| D. | a |
| Answer» E. | |
| 9. |
Find the variance of the first 10 natural numbers. |
| A. | 7.25 |
| B. | 7 |
| C. | 8.25 |
| D. | 8 |
| Answer» D. 8 | |
| 10. |
The mean of two samples of the sizes 250 and 320 were found to be 20,12 respectively. Their standard deviations were 2 & 5, respectively. Find the variance of combined sample of size 650. |
| A. | 10.23 |
| B. | 32.5 |
| C. | 65 |
| D. | 26.17 |
| Answer» E. | |
| 11. |
If the standard deviation of a data is 0.012. Find the variance. |
| A. | 0.144 |
| B. | 0.00144 |
| C. | 0.000144 |
| D. | 0.0000144 |
| Answer» D. 0.0000144 | |
| 12. |
Find the variance of the observation values taken in the lab. |
| A. | 0.27 |
| B. | 0.28 |
| C. | 0.3 |
| D. | 0.31View Answer |
| Answer» C. 0.3 | |