NEW! The Gist (AUG-24) | E-BOOKS
(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Statistics (MCQ -24)
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
![](https://static.upscportal.com/images/igp/IGP-CSAT-Paper-2-Basic-Nume-Statistics-20.gif)
(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
![](https://static.upscportal.com/images/igp/IGP-CSAT-Paper-2-Basic-Nume-Statistics-22.gif)
(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
![](https://static.upscportal.com/images/igp/IGP-CSAT-Paper-2-Basic-Nume-Statistics-23.gif)
(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