The mean = 28.55, while the standard deviation is 13.16
1. The histogram is an attachment
<h3>How to calculate for the mean of the data set</h3>We have the following numbers
24 30 4 42 40 26 23 36 12 45 29 21 34 16 47 28 32 54 19 9
The sum of these numbers is given as
571
The total numbers = 20
The mean = 571/20
= 28.55
<h3>2 = How to find the standard deviation</h3>= (24 - 28.55)2 + ... + (9 - 28.55)/20 - 1
= 3292.95/19
= 173.31315789474
s = √173.31315789474
= 13.164845532506
Read more on mean and standard deviation here:
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Given a polynomial and a point
, we have that
We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of
Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be
To fix the correct value for a, we impose :
And so we must impose
So, the function we're looking for is