Advertisements
Advertisements
Question
If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is ______.
Advertisements
Solution
If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is 3.
Explanation:
We know that,
Mean = `"Sum of all observations"/"Total number of observations"`
⇒ `5 = (8 + 4 + x + 6 + 2 + 7)/6` ...[∵ Mean = 5, given]
⇒ 30 = 27 + x
⇒ 30 – 27 = x
⇒ 3 = x
∴ x = 3
Hence, the value of x is 3.
APPEARS IN
RELATED QUESTIONS
A cricketer scores the following runs in eight innings:
58, 76, 40, 35, 46, 45, 0, 100
Find the mean score.
The mean of five numbers is 50, out of which mean of 4 numbers is 46, find the 5th number:
The algebraic sum of the deviations of a set of n values from their mean is
The marks of 14 students in a science test out of 50 are given below. 34, 23, 10, 45, 44, 47, 35, 37, 41, 30, 28, 32, 45, 39 Find the mean mark
Find the mean of the following data.
5.1, 4.8, 4.3, 4.5, 5.1, 4.7, 4.5, 5.2, 5.4, 5.8, 4.3, 5.6, 5.2, 5.5
_______________ is a representative value of the entire data
The average of two numbers are 20. One number is 24, another number is ____________
Let x, y, z be three observations. The mean of these observations is ______.
The mean of three numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be highest possible number of remaining two numbers?
The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appointed in his place. If the mean age of the teachers in this school now is 39 years, then the age (in years) of the newly appointed teacher is ______.
