(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Statistics (MCQ -24)

Directions (Q. Nos. 1-5) Consider the table given below

Class-interval (Age in years)	Number of employees frequency	Cumulative frequency
25-29	5	5
30-34	15	20
35-39	22	42
40-44	19	61
45-49	9	70

From the above table find the following.

1. Class size is
(a) 4.5
(b) 5
(c) 4
(d) None of these

2. Mid value of class 40-44 is
(a) 42.5
(b) 42
(c) 43
(d) None of these

3. Lower limit and upper limit of 35-39 is
(a) 35, 39
(b) 34, 38
(c) 34.5, 39.5
(d) None of these

4. How many employees are less than 44½ yr age ?
(a) 22
(b) 42
(c) 61
(d) None of these

5. The frequency of class 45-49 is
(a) 9
(b) 70
(c) 19
(d) None of these

6. 1-10, 11-20, 21-30, are the classes, Upper boundary of the class 11-20 is
(a) 20
(b) 19
(c) 20.5
(d) None of these

7. In the frequency distribution 15-19, 20-24, 25- 29, 30-34, 35-39, 40-44 class interval of 25-29 is
(a) 4
(b) 5
(c) 6
(d) None of these

8. The sales in rupees of a particular soap from Sunday to Saturday are given below. Find the mean of daily sales 310, 420, 380, 370, 215, 430, 270.
(a) 342
(b) 342.25
(c) 342.5
(d) None of these

9. Mean of 11 observations is 17.5. If an observation 15 is deleted. Find the mean of the remaining observations.
(a) 17.5
(b) 17.25
(c) 17.75
(d) None of these

10. If 6, 4, 5 and 3 occur with frequencies 2, 2, 5 and 4 respectively, the arithmetic mean is
(a) 6
(b) 4.38
(c) 6.25
(d) 5.42

11. The observations of an ungrouped data are x, y and 2x and x < y < 2x. If the mean and median of data are equal to 6. Find the observations of the data.
(a) 3, 6, 9
(b) 4, 6, 8
(c) 5, 6, 7
(d) None of these

12. The frequency distribution of number of heads obtained in tossing five coins 100 times is given. Find the mean of the data.

(a) 2.5
(b) 3
(c) 3.5
(d) None of these

13. The number of students absent in a class were recorded everyday for 120 days and the information is given in the following frequency table. Find the mean number of students absent per day.

(a) 3
(b) 3.25
(c) 3.525
(d) None of these

14. The daily wages (in rupees) of 100 labourers is given in the following frequency distribution. Find the mean of the data.
(a) 67
(b) 67.5
(c) 68
(d) None of these

15. Find the median of the following observations 6, 19, 14, 46, 16, 42, 26, 32, 38.
(a) 26
(b) 28
(c) 30
(d) 32

16. Observation of some data are , , , and x/4, x, x/5,  x/3,  x/2 where x > 0 If the median of the data is 60, find the value of x.
(a) 160
(b) 170
(c) 180
(d) None of these

17. Find the median of the following

(a) 11
(b) 11.25
(c) 11.447
(d) None of these

18. In complete frequency distribution is given by as follows

Given that the median is 13.76, determine the missing frequencies.
(a) 2, 14
(b) 4, 12
(c) 3, 13
(d) None of these

19. Find the mode of the following numbers 1, 0, 1, 2, 2, 5, 6, 2, 1, 7, 8, 6.
(a) 2
(b) 1
(c) 3
(d) None of these

20. Find the mode of the following numbers 1, 2, 3, 8, 9, 0, 6, 5.
(a) 0
(b) 1
(c) 6
(d) Does not exist

© UPSCPORTAL.COM