the mean of 21 observations is 40 if each observation greater than the median are increased 21 then mean of observation will become?
Answers
# Answer- 50.
# Given-
total observations = 21
mean = 40.
# Solution-
Now sum of all observations will be 21×40=840.
Median will occur at (21+1)/2 =11th number.
So there will be 10 observations after the median.
Each of these observations are increased by 21.
Total increase will be 21×10=210.
New grand total=840+210=1050.
New mean = 1050/21 = 50.
The new mean is 50.
Answer:
50
Step-by-step explanation:
Find the sum of the 21 observations:
mean = 40
Sum = 40 x 21 = 840
Find the median term:
Median term = (21 + 1)/2 = 11th term
Find the number of terms after the median term:
Number of terms = 21 - 11 = 10
Sum of the increased:
1 term = 21
10 terms = 21 x 10 = 210
Sum of the 21 observations after the increased:
Sum = 840 + 210 = 1050
Find the mean of the 21 observations:
Mean = 1050 ÷ 21 = 50
Answer: The new mean is 50