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Class 11 Mathematics: Statistics
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MCQs on mean deviation, variance and standard deviation, frequency distributions analysis, dispersion measure and range.

Class 11 Mathematics: Statistics
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24 Questions

1. If the standard deviation of a data is 820 and mean of the data is 50, find the coefficient of variation.
2. What is the mean deviation from the mean for the following data?
117156206198223
3. In a class there are 20 juniors, 15 seniors and 5 graduate students. If the junior averaged 65 in the midterm exam, the senior averaged 70 and the graduate students averaged 91, then what is the mean of the centre class approximately?
4. The following data shows the heights and weights of the students of class 9. Which of the following is correct?
HeightWeight
Mean170 cm55 kg
Variance130 cm225 kg2
5. 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.
6. Find the mean deviation about the median of the scores of a batsman given below.
InningsScores
120
256
30
484
511
6120
7. If the standard deviation of a data is 0.012. Find the variance.
8. What is the median and standard deviation of a distribution are 50 and 5 respectively, if each item is increased by 4.
9. 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.
10. 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.
11. 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.
12. 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.
13. Assuming the variance of four numbers w, x, y, and z as 9. Find the variance of 5w, 5x, 5y and 5z.
14. If the coefficient of variation is 100 the mean of the data is 25, then find the standard deviation.
15. What is the geometric mean of 5,52, ….,5n?
16. The mean deviation of an ungrouped data is 150. If each observation is increased by 3.5%, then what is the new mean deviation?
17. Find the mean deviation from mean of the observations: a, a+d, …., (a+2nd).
18. Find the variance of the first 10 natural numbers.
19. Find the mean deviation about mean from the following data:
xi35202527
fi51220815
20. The change in which of following terms does not affect the standard deviation?
21. If standard deviation of a data is 40 and the coefficient of variation is 25600, then find the mean.
22. Find the variance of the observation values taken in the lab.
4.24.344.1
23. An analysis of the monthly wages paid to the workers of a form is given below. Calculate the total monthly wages.
No. of workers100
Average monthly wages280
Variance of distribution of wages10
24. 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.

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