Chapter 24 Measures of Central Tendency RD Sharma Solutions Exercise 24.2 Class 9 Maths
Chapter Name  RD Sharma Chapter 24 Measures of Central Tendency Exercise 24.2 
Book Name  RD Sharma Mathematics for Class 10 
Other Exercises 

Related Study  NCERT Solutions for Class 10 Maths 
Exercise 24.2 Solutions
1. Calculate the mean for the following distribution :
X 
5 
6 
7 
8 
9 
F 
4 
8 
14 
11 
3 
Solution
X 
F 
Fx 
5 
4 
20 
6 
8 
48 
7 
14 
98 
8 
11 
88 
9 
3 
27 

N = 40 
Î£fx = 281 
2. Find the mean of the following data:
X 
19 
21 
23 
25 
27 
29 
31 
F 
13 
15 
16 
18 
16 
15 
13 
Solution
X 
F 
Fx 
19 
13 
247 
21 
15 
315 
23 
16 
368 
25 
18 
450 
27 
16 
432 
29 
15 
435 
31 
13 
403 

N = 106 
Î£fx = 2650 
3. The mean of the following data is 20.6. Find the value of P.
x 
10 
15 
P 
25 
35 
F 
3 
10 
25 
7 
5 
Solution
4. If the mean of the following data is 15, find P.
x 
5 
10 
15 
20 
25 
F 
6 
P 
6 
10 
5 
Solution
5. Find the value of p for the following distribution whose mean is 16.6
x 
8 
12 
15 
P 
20 
25 
30 
f 
12 
16 
20 
24 
16 
8 
4 
Solution
6. Find the missing value of p for the following distribution whose mean is 12.58.
X 
5 
8 
10 
12 
P 
20 
25 
F 
2 
5 
8 
22 
7 
4 
2 
Solution
7. Find the missing frequency (p) for the following distribution whose mean is 7.68.
X 
3 
5 
7 
9 
11 
13 
F 
6 
8 
15 
P 
8 
4 
Solution
8. Find the mean of the following distribution :
X 
10 
12 
20 
25 
35 
F 
3 
10 
15 
7 
5 
Solution
9. Candidates of four schools appear in a mathematics test. The data were as follows:
Schools 
No. of candidates 
Average score 
I 
60 
75 
II 
48 
80 
III 
NA 
55 
IV 
40 
50 
If the average score of the candidates of all the four schools is 66, find the number of
candidates that appeared from school III.
Solution
Let no. of candidates appeared from school III = x.
10. Five coins were simultaneously tossed 1000 times and at each toss the number of heads were
observed. The number of tosses during which 0, 1, 2, 3, 4 and 5 heads were obtained are shown in the table below. Find the mean number of heads per toss.
No. of heads per toss 
No. of tosses 
0 
38 
1 
144 
2 
342 
3 
287 
4 
164 
5 
25 
Total 
1000 
Solution
11. Find the missing frequencies in the following frequency distribution if its known that the mean of the distribution is 50.
X 
10 
30 
50 
70 
90 

F 
17 
F_{1} 
32 
F_{2} 
19 
Total = 120 
Solution