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brilliants [131]
2 years ago
5

Calculate the standard deviation of the data set below. (7, 9, 10, 11, 13)

Mathematics
2 answers:
Zielflug [23.3K]2 years ago
8 0
<h2>Answer:</h2>

The standard deviation of the data set is:

                      2

<h2>Step-by-step explanation:</h2>

We are given a set of data points as:

x=  7   9   10    11    13

Now on firstly finding the mean of these data points we have:

Mean(x')=\dfrac{7+9+10+11+13}{5}\\\\\\Mean(x')=\dfrac{50}{5}=10

Now,

 x             x-x'             (x-x')²

 7           7-10=-3           9

 9           9-10=-1            1

10          10-10=0           0

11            11-10=1             1

13           13-10=3           9      

∑(x-x')²=20

Now, mean of  ∑(x-x')² gives us the variance of the data.

Variance=∑(x-x')²/5=20/5=4

Now, we know that standard deviation is the square root of variance.

Hence,

Standard deviation=√4=2

Reil [10]2 years ago
5 0
I think it's 2.2. I apologize if it's incorrect
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