Please answer all of these marking brainliest
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7. A)
8. D)
9. Mean of 100 items = 49.
Sum of 100 items = 49*100 = 4900 .
The Sum of correct observations = 210
But, The Sum was reading as 110 .
So , We need to add 100 .
Now, Sum of 100 items = 4900 + ( 210 - 110) = 5000 .
Mean = 5000/100 = 50 .
10. common factor
11. direct
12. step-deviation
13. 4
(attachment)
14. 9
Given that the mean of first n natural numbers = 5n/9.
We know that mean of n natural numbers = (n + 1)/2.
(n + 1)/ 2 = 5n/9
9(n + 1) = 2(5n)
9n + 9 = 10n
9 = n.
15. 6
use formula,
{x}={fi xi}{f}
where{x} is the mean , f is number of data values .
here given,
{x}=8.1
fi xi=132+5k and f=20
so, 8.1 = (132 + 5k)/20
8.1 × 20 = 132 + 5k
162 = 132 + 5k
162 - 132 = 5k
30 = 5k
k = 6
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