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PRACTICE QUESTIONS (STATISTICS)
CLASS: X : MATHEMATICS
1.
Calculate mode of the following data:
|
Marks |
0 – 20 |
20 – 40 |
40 – 60 |
60 – 80 |
80 – 100 |
|
No. of Students |
5 |
10 |
12 |
6 |
3 |
|
Marks |
0 – 10 |
10 – 20 |
20 – 30 |
30 – 40 |
40 – 50 |
|
No. of Students |
2 |
12 |
22 |
8 |
6 |
3.
Calculate mode of the following data:
|
Marks |
0 – 6 |
6 – 12 |
12 – 18 |
18 – 24 |
24 – 30 |
|
No. of Students |
7 |
5 |
10 |
12 |
6 |
4.
Calculate median marks of the following data:
|
Class intervals |
20 – 40 |
40 – 60 |
60 – 80 |
80 – 100 |
100 – 120 |
120 – 140 |
140 – 160 |
|
Frequency |
12 |
18 |
23 |
15 |
12 |
12 |
8 |
5.
The data on number of patients attending
a hospital in a month are given below.
Find the average number of
patients attending the hospital in a day.
|
No. of patients |
0 – 10 |
10 – 20 |
20 – 30 |
30 – 40 |
40 – 50 |
50 – 60 |
|
No. of days |
2 |
6 |
9 |
7 |
4 |
2 |
6.
The arithmetic mean of the following frequency distribution is 50. Find the value of p.
|
Class |
0 – 20 |
20 – 40 |
40 – 60 |
60 – 80 |
80 – 100 |
|
frequency |
17 |
p |
32 |
24 |
19 |
7.
Find the mean of the following frequency
distribution:
|
Class |
0 – 10 |
10 – 20 |
20 – 30 |
30 – 40 |
40 – 50 |
50 – 60 |
60 – 70 |
|
frequency |
4 |
4 |
7 |
10 |
12 |
8 |
5 |
8.
Find the mode of the following frequency
distribution:
|
Class |
0 – 10 |
10 – 20 |
20 – 30 |
30 – 40 |
40 – 50 |
50 – 60 |
60 - 70 |
70 – 80 |
|
Frequency |
5 |
8 |
7 |
12 |
28 |
20 |
10 |
10 |
9.
Find the median
of the following frequency distribution:
|
Class |
130 – 139 |
140 – 149 |
150 – 159 |
160 – 169 |
170 – 179 |
180 – 189 |
190 – 199 |
|
frequency |
4 |
9 |
18 |
28 |
24 |
10 |
7 |
10. The mode of the following frequency distribution is 34.5. Find the value of x.
|
Class |
0 – 10 |
10 – 20 |
20 – 30 |
30 – 40 |
40 – 50 |
|
Frequency |
4 |
8 |
10 |
x |
8 |
11. Find the median of the following frequency distribution:
|
More than or equal
to |
150 |
140 |
130 |
120 |
110 |
100 |
90 |
80 |
|
frequency |
0 |
12 |
27 |
60 |
105 |
124 |
141 |
150 |
12. The median of the distribution given below is 14.4. Find the
values of x and y, if the sum of frequency is 20.
|
Class Interval |
0 – 6 |
6 – 12 |
12 – 18 |
18 – 24 |
24 – 30 |
|
Frequency |
4 |
x |
5 |
y |
1 |
13. Find the median income of the following frequency
distribution:
|
Weekly Income (Rs.) |
0 – 1000 |
1000 – 2000 |
2000 – 3000 |
3000 – 4000 |
4000 – 5000 |
5000 – 6000 |
|
Frequency |
250 |
190 |
100 |
40 |
15 |
5 |
14. The arithmetic mean of the following frequency distribution is 50. Find the value
of p.
|
Class |
0-20 |
20-40 |
40-60 |
60-80 |
80-100 |
|
Frequency |
17 |
p |
32 |
24 |
19 |
15. Find ‘p’ if the mean of the given data is 15.45.
|
Class Interval |
0 – 6 |
6 – 12 |
12 – 18 |
18 – 24 |
24 – 30 |
|
Frequency |
6 |
8 |
p |
9 |
7 |
16. Find the value of p, if the mode of the following distribution is 48:
|
Class |
0 – 10 |
10 – 20 |
20 – 30 |
30 – 40 |
40 – 50 |
50 – 60 |
60 - 70 |
70 – 80 |
|
Frequency |
7 |
14 |
13 |
12 |
p |
18 |
15 |
8 |
17. The median of the following
data is 52.5. Find the values of x and y. if the total frequency is 100
|
Class Interval |
0- 100 |
100- 200 |
200- 300 |
300- 400 |
400- 500 |
500- 600 |
600- 700 |
700- 800 |
800- 900 |
900- 1000 |
|
Frequency |
2 |
5 |
x |
12 |
17 |
20 |
y |
9 |
7 |
4 |
18. The mean of the following frequency distribution is 25.2. Find the missing frequency
x.
|
Class |
0 – 10 |
10 – 20 |
20 – 30 |
30 – 40 |
40 – 50 |
|
Frequency |
8 |
x |
10 |
11 |
9 |
19. A survey
regarding the heights (in cm) of 50 girls of class Xth of a school was
conducted and the following
data was obtained. Find the
mean, median and mode of the given data.
|
Heights (in cm) |
120 – 130 |
130 – 140 |
140 – 150 |
150 – 160 |
160 – 170 |
|
No. of Girls |
2 |
8 |
12 |
20 |
8 |
20. Find mean, median and mode of the following data:
|
Marks |
0 – 20 |
20 – 40 |
40 – 60 |
60 – 80 |
80 – 100 |
100–120 |
120 –140 |
|
No. of Students |
6 |
8 |
10 |
12 |
6 |
5 |
3 |
