7. The mean of 15 observations is 32. Find the
resulting mean, if each observation is :
(i) increased by 3 (ii) decreased by 7
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Answer:
Increased by 3, new mean is 35
Decreased by 7, new mean is 25
Step-by-step explanation:
Mean = 32 and no. of observation is 15
Mean = sum of observation/ no. of observation
32= sum of observation/ 15
sum of observation= 32x15= 480
In increased by 3,
Then if we increase every observation by 3, so
no. of observation is 15, then
15x3=45
Now, we will add 45 in sum of observation,
480+45=525
So, new mean is = 525/15= 35
In decreased by 7,
Then if we decrease every observation by 7, so
no. of observation is 15, then
15x7=105
Now, we will subtract 105 from sum of observation,
480 - 105=375
so, new mean is = 375/15 =25
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