If each observation of the data is increased by 5, then the new mean :
is increased by 5
The mean of a data set is the sum of all observations divided by the number of observations.
If a constant value is added to every observation, the total sum of all observations increases by that constant multiplied by the number of observations.
When this new sum is divided by the same number of observations, the mean also increases by exactly that constant.
Here, each observation is increased by 5, so the new mean equals the original mean increased by 5.
Hence, the new mean is increased by 5.
Similar Questions
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Important Questions from Elementary Statistics
In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.What is the mode of the number of children.
Find the mode and median of 3, 4, 5, 5, 3, 6, 7, 3, 5, 5, 6.
A. 5 and 5
B. 3 and 5
C. 5 and 4
D. 3 and 4
For which set of numbers do the mean, median and mode all have the same value?
The median of 5, 8, 25, 22, 34, 18 is
Find the mean of first 5 two-digit multiples of 4.
