Statistics-Important Questions

STATISTICS
HIGH ORDER THINKING QUESTIONS
1.   What measure of central tendency is used to obtain graphically as the x-coordinate of meeting point of the two ogives for grouped data?
2.   The percentage marks obtained by 100 students in an examination are given below: Find median.
Marks 30-35 35-40 40-45 45-50 50-55 55-60 60-65
Frequency 10 16 18 23 18 8 7
3.   The median of the following frequency distribution is 35. Find the value of x.
C.I. f
0-10 2
10-20 3
20-30 X
30-40 6
40-50 5
50-60 3
60-70 2
        Also find the modal class.
4.   Draw the cumulative frequency curve by more than method from the following data:
income Number of persons
0-1000 7
1000-2000 15
2000-3000 35
3000-4000 28
4000-5000 10
5000-6000 5
5.   The mean of the following distribution is 18.
Class
interval
11-13 13-15 15-17 17-19 19-21 21-23 23-25
Frequencies 3 6 9 13 f 5 4
        Find f.
6.   The percentage of marks obtained by 100 students in an examination are given below:
Marks 30-35 35-40 40-45 45-50 50-55 55-60 60-65
Frequency 14 16 18 23 18 8 3
        Find the median of the above data.
7.   Draw a ‘less than ogive’ for the following data:
Class 1-4 4-7 7-10 10-13 13-16 16-19
Frequency 6 30 40 16 4 4
8.   Find the mean, median and the mode of the following frequency distribution.
Class 0-10 10-20 20-30 30-40 40-50 50-60 60-70
frequency 4 5 7 10 12 8 4
9.   Find the mean of the following
Class 200-201 201-202 202-203 203-204 204-205 205-206
frequency 13 27 18 10 1 1
10.   Find the mean of the following data:
Class 0-10 10-20 20-30 30-40 40-50
frequency 20 24 40 36 20