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14

Q1. The mean of a data set with 10 observations is calculated as 17.85. If one more value is included in the data, then for the new data with 11 observations, mean becomes 18.50. Value of this 11th observation is
24
26
25
28
Q2. If the mean of the following distribution is 2.6, then the value of y is Variable (x) 1 2 3 4 5 Frequency 4 5 y 1 2
3
8
13
24
Q3. The value of the observation having greatest frequency is called____.
Mean
Median
Mode
All of above
Q4. Find out the mode of the following data:  Wages Less than 200 300 400 500 600 700 800 900 No. of workers 5 18 38 70 90 95 98 100
450
400
478
600
Q5. The point of intersection of a less than ogive and more than ogive is (12, 15). The value of median is
12
15
12.5
15.5
Q6. Age (in yrs.) 12 13 14 15 16 No. of students 2 7 3 4 2 Modal age of students in given distribution is
12 years
13 years
14 years
15 years
Q7. For a frequency distribution, mean, median and mode are connected by the relation
mean = 3 mode + median
3mode = mean + median
mode = 3 median - 2 mean
median = 3 mode - mean
Q8. The mean of 6 numbers is 16. With the removal of a number the mean of remaining numbers is 17. The number removed is:
2
22
11
6
Q9. Modal class of the following distribution is Class Interval 0-10 10-20 20-30 30-40 40-50 Frequency 2 5 7 5 2
10-20
20-30
30-40
40-50
Q10. In a continuous distribution with usual notations, if l=32.5, f1=15, f0=12, f2=8 and size of each class is 8, then the mode of data is
34.9
34.2
34.5
34
Q11. Construction of ogives is useful in determining the
Mean
Median
Mode
All of the above
Q12. Expenditure 0-10 10-20 20-30 30-40 40-50 No. of families 14 23 27 21 15 What is the mode of the given data?
22
21
25
24
Q13. The mean of the marks obtained by 7 students in a group is 226. If the marks obtained by six of them are 340, 180, 260, 56, 275, 307, then the marks obtained by the seventh student are
125
164
174
200
Q14. Which of the following is not a measure of central tendency?
Mean
Median
Range
Mode
Q15. Frequency table of the marks of 50 students as given below: Marks obtained 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 No. of students 3 f1 20 10 5 f2 Given that the median marks are 28.5, the missing frequencies will be
f1 = 5, f2 = 7
 f1 = 8, f2 = 7
f1 = 7, f2 = 5
f1 = 7, f2 = 9
Q16. If the mean of the following data is 18.75, then the value of p is  
xi          10        15          p        25          30     
fi           5          10         7         8            2
30
18.5
20
15
Q17. The mean of a data set with 12 observations is calculated as 19.25. If one more value is included in the data, then for the new data with 13 observations, mean becomes 20. Value of this 13th observation is
29
28
30
31
Q18. The mean of first ten even natural numbers is
11
100
10
30
Q19. A batsman in his 12th innings makes a score of 63 runs and thereby increases his average score by 2. His average score after 12th innings is
51
60
41
45
Q20. The median of first ten natural numbers is
5
6
5.5
11
Q21. Calculate mode of the following data: 20, 60, 70, 70, 60, 70, 60, 10, 70, 80
20
60
70
80
Q22. The arithmetic mean of the following data is Class interval 4-8 8-12 12-16 16-20 20-24 24-28 28-32 32-36 Frequency  2 12 15 25 18 12 13 3
18.56
17.3
20
19.92
Q23. If there are two class intervals 10-20 and 20-30, then in which interval will 20 fall?
10-20
20-30
In both, 10-20 and 20-30
Neither in 10-20 nor 20-30
Q24. If median of 20 observations is 50 and mode is also 50, then the mean is
45
50
49
55
Q25. The lower limit of the modal class of the following data is:   C.I. 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 Frequency 5 8 13 7 6  
10
30
20
50
Q26. Which of the following is not a measure of central tendency?
Mean
Median
Mode
Standard deviation.
Q27. If the median of the following data is 166.79, then the mean and mode are Class interval Frequency 130 - 140 5 140 - 150 9 150 - 160 17 160 - 170 28 170 - 180 24 180 - 190 10 190 - 200 7
Mode = 160.9  Mean = 167
Mode = 167.3, Mean = 168.03
Mode = 161.9  Mean = 168
Mode = 152.9  Mean = 166.73
Q28. In the given distribution, the cumulative frequency corresponding to more than third lower limit is Age (in yrs.) 0-9 10-19 20-29 30-39 40-49 50-59 60-69 No. of persons 5 15 20 23 17 11 9
20
40
60
80
Q29. The mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the value of x is:
4
7
11
6
Q30. Construction of a cumulative frequency table is useful in determining the 
mean
median
mode
all the above three measures
Q31. The mean of 15 numbers is 25. If each number is multiplied by 4, mean of the new numbers is
60
100
10
40
Q32. The mean of five numbers is 28. If one of the numbers is excluded, the mean gets reduced by 2. The excluded number is
25
36
30
45
Q33. For the following set of data the median will be 10, 75, 3, 81, 17, 27, 4, 48, 12, 47, 9 and 15
20
16
48
27
Q34. The measure of central tendency that is most suitable to find the average male or female height of the region is
Mean
Mode
Median
Mean and mode
Q35. Consider the following distribution: Monthly income range Number of families More than Rs 10000 100 More than Rs 13000 85 More than Rs 16000 69 More than Rs 19000 50 More than Rs 22000 33 More than Rs 25000 15 The number of families having income range (in Rs) 16000-19000 is
15
16
17
19
Q36. Construction of a cumulative frequency table is useful in determining the
mean
median
mode
all the above three measures
Q37. The mean and median of same data are 24 and 26 respectively. The value of mode is :
23
26
25
30
Q38. Monthly wages of 10 employees of a factory are 3000, 3500, 3800, 3200, 3600, 4000, 3100, 3900, 3000 and 4000. Find the median wage.
Rs. 3500
Rs. 3600
Rs. 3550
Rs. 3000
Q39. If the point of intersection of a less than and more than ogive is (15,20), then the value of median is
5
15
20
35
Q40. If the mode of the given data is 5, then the value of x is 3, 5, 7, 4, x, 3, 5, 6, 8, 9, 5, 3, 5, 3, 6, 9, 7, 4
3
4
5
6

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