Advertisements
Advertisements
Question
If the mean of 7, 16, 9, 15, 16, a, 12, 8, b, 11 is 12, write a in terms of b.
Advertisements
Solution
Mean = `(sumx)/"N"`
= `(7 + 16 + 9 + 15 + 16 + "a" + 12 + 8 + "b" + 11)/(10)`
∴ 12 = `(94 + "a" + "b")/(10)`
⇒ 120 = 94 + a + b
⇒ a = 120 - 94 - b = 26 - b
∴ a = 26 - b.
APPEARS IN
RELATED QUESTIONS
The mean of 15 observations is 32. Find the resulting mean, if the observation is: Increased by 3
The mean of 15 observations is 32. Find the resulting mean, if each observation is: Multiplied by 2
The mean of 15 observations is 32. Find the resulting mean, if the observation is: Decreased by 20%
The heights (in cm) of the volleyball players from team A and team B were recorded as:
Team A: 180, 178, 176, 181, 190, 175, 187
Team B: 174, 175, 190, 179, 178, 185, 177
Which team had a greater average height?
Find the median of team A and team B.
The average of n numbers x1, x2, x3 ….. xn is A. If x1 is replaced by ( x+ α )x1, x2, is replaced by ( x+ α )x2 and so on.
Find the new average.
The mean of x, x + 2, x + 4, x + 6 and x + 8 is 11, find the mean of the first three observations.
Calculate man of the following: 4, 6, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 11, 3
The daily maximum relative humidity (in percent) in Mumbai from May 1 to May 7, 1992 is given below: 64, 70, 65, 80, 75, 78
Find the mean.
The mean of 16 natural numbers is 48. Find the resulting mean, if each of the number is multiplied by 4
A boy scored the following marks in various class tests during a term, each test being marked out of 20.
15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16
What is his mean marks?
