The marks obtained by 40 students of class-X of a certain school in Mathematics unit test consisting of 10 marks are presented in table below. Find the mean of the marks obtained by the students.
Marks obtained (xi) |
5 |
6 |
7 |
8 |
9 |
No. of students (fi) |
4 |
8 |
14 |
11 |
3 |
A survey was conducted by a group of persons as a part of energy consumption awareness in which they collected the following data regarding the number of electric summer cooler in 15 houses in a locality in North Delhi. Find the mean number of coolers per house.
No. of coolers |
0-2 |
2-4 |
4-6 |
6-8 |
8-10 |
No. of houses |
5 |
3 |
4 |
2 |
1 |
Which method do you use for finding the mean and why?
Consider the following distribution of daily wages of 100 workers in a jute Mill.
Daily wages (in Rs.) |
80-100 |
100-120 |
120-140 |
140-160 |
160-180 |
No. of workers |
40 |
20 |
15 |
15 |
10 |
Find the mean daily wages of the workers of the factory by using an appropriate method.
Solution not provided.
Ans. 117
The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs. 7.5. Find the missing frequency f.
Daily Pocket allowance (in Rs.) |
2-4 |
4-6 |
6-8 |
8-10 |
10-12 |
12-14 |
No. of children |
6 |
8 |
15 |
f |
8 |
4 |
If the mean of the following frequency distribution is 8. Find the value of p.
x |
3 |
5 |
7 |
9 |
11 |
13 |
f |
6 |
8 |
15 |
P |
8 |
4 |
If the mean of the following distribution is 6. Find the value of p.
x |
2 |
4 |
6 |
10 |
p + 5 |
f |
3 |
2 |
3 |
1 |
2 |
The data of 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 attending hospitals |
2 |
6 |
9 |
7 |
4 |
2 |
A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data.
No. of cars |
Frequency |
0-10 |
7 |
10-20 |
14 |
20-30 |
13 |
30-40 |
12 |
40-50 |
20 |
50-60 |
11 |
60-70 |
15 |
70-80 |
8 |
The given distribution shows the number of wickets taken by some top bowlers of the world in one day cricket matches.
Wickets taken |
No. of bowlers |
50-80 |
50 |
80-110 |
40 |
110-140 |
30 |
140-170 |
60 |
170-200 |
15 |
200-230 |
10 |
230-260 |
8 |
Find the mode of the data.
The following is the frequency distribution of marks obtained by class-X students of a school in CBSE BOARD EXAMINATION in Mathematics. Calculate the modal Marks.
Marks |
No. of Students |
40-50 |
20 |
50-60 |
15 |
60-70 |
30 |
70-80 |
12 |
80-90 |
15 |
90-100 |
8 |