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4 years ago

If the variance of the data values in a sample is 121, what is the standard deviation of the data values? A.15 B.12 C.11 D.13

Mathematics

2 answers:

yaroslaw [1]4 years ago

5 0

Answer: 11

Step-by-step explanation:

We know that the standard deviation of a data is square root of variance of the data or we can say variance of a data is square of standard deviation of the data.

Given: Variance of data values = 121

Then the standard deviation of the data values will be given by :-

$\sigma=\sqrt{V}\\\\\Rightarrow\sigma=\sqrt{121}\\\\\Rightarrow\sigma=11$

Hence, If the variance of the data values in a sample is 121, then the standard deviation of the data values will be 11.

miskamm [114]4 years ago

3 0

Variance is standard deviation squared, so in order to find the standard deviation of 121, you would take the square root:
$\sqrt{121} =11$ (c)

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3 years ago

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4 years ago

The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation

rjkz [21]

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Standard deviation: 4

Step-by-step explanation:

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= 480/10

= 48

The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

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