Advertisements
Advertisements
Question
Find the mean of 8, 12, 16, 22, 10 and 4. Find the resulting mean, if the observations, given above, be: divided by 2.
Advertisements
Solution
Mean of the given data = `[ 8 + 12 + 16 + 22 + 10 + 4]/6`
= `72/6` = 12
divided by 2.
If `barx` is the mean of n number of observation x1, x2, x3, ....,xn, then mean of `(x_1)/a, (x_2)/a, (x_3)/a, ....,(x_n)/a "is" barx/a`
Thus, when each of the given data is divided by 2,
the mean is also divided by 3.
The mean of the original data is 12.
Hence, the new mean = `12/2` = 6.
APPEARS IN
RELATED QUESTIONS
Find the mean of the first six natural numbers.
Find the mean of the first ten odd natural numbers.
In a series of tests, A appeared for 8 tests. Each test was marked out of 30 and averages 25. However, while checking his files, A could only find 7 of the 8 tests. For these, he scored 29, 26, 18, 20, 27, 24 and 29.
Determine how many marks he scored for the eighth test.
The mean weight of 120 students of a school is 52.75 kg. If the mean weight of 50 of them is 51 kg,
find the mean weight of the remaining students.
If different values of variable x are 9.8, 5.4, 3.7, 1.7, 1.8, 2.6, 2.8, 8.6, 10.5 and 11.1;
find
(i) the mean ` barx `
(ii) the value of ` sum (x_i - barx)`
The mean of 100 observations is 40. It is found that an observation 53 was misread as 83.
Find the correct mean.
If the mean of observations x, x + 2, x + 4, x + 6 and x + 8 is 11,
find:
(i) The value of x;
(ii) The mean of first three observations.
The mean of 16 numbers is 8. If 2 is added to every number, what will be the new mean?
The mean monthly salary of 10 members of a group is Rs.1,445, one more member whose monthly salary is Rs.1,500 has joined the group. Find the mean monthly salary of 11 members of the group.
The mean of 100 items was found to be 30. If at the time of calculation two items were wrongly taken as 32 and 12 instead of 23 and 11, find the correct mean.
