the mean of the following frequency distribution is 24.find the value of p. marks =0-10,10-20,20-30,30-40,40-50.number of students =15,20,35,p,10
Answers
Answer:
The value of p is 20.
Explanation:
Given : The mean of the data is 24.
To find : The value of p?
Solution :
The data is arranged as,
Class Intervals Frequency (f) Class Marks (x) f\times x=fxf×x=fx
0-10 15 5 75
10-20 20 15 300
20-30 35 25 875
30-40 p 35 35p
40-50 10 45 450
Total \sum f=p + 80∑f=p+80 \sum fx=35p + 1700∑fx=35p+1700
The mean of the data is given by,
M=\frac{\sum fx}{\sum f}M=
∑f
∑fx
24=\frac{35p+1700}{p+80}24=
p+80
35p+1700
24p+1920=35p+170024p+1920=35p+1700
35p-24p=1920-170035p−24p=1920−1700
11p=22011p=220
p=\frac{220}{11}p=
11
220
p=20p=20
Therefore, the value of p is 20.
#Learn more
If the mean of the distribution is 27, find the value of p. class 0-10, 10-20,20-30,30-40,40-50 frequency is respectively 8,p,12,13,10
Step-by-step explanation:
yes he has solved the right answer