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Snowcat [4.5K]
3 years ago
11

Find the standard deviation of the sample data set.

Mathematics
2 answers:
Leviafan [203]3 years ago
6 0

Answer:

the answer is B

Step-by-step explanation:

jeka57 [31]3 years ago
4 0

Answer:

Option A)  4.4 is the correct standard deviation of the the given data set.

Step-by-step explanation:

We are given the following data set:

127, 135, 128, 131, 133, 127, 122

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Solving:

Mean =\displaystyle\frac{903}{7} = 129

Sum of squares of differences = 4 + 36 + 1 + 4 + 16 + 4 + 49 = 114

S.D = \sqrt{\frac{114}{6}} = 4.358898944 \approx 4.4

Option A) is the correct standard deviation of the the given data set.

 

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Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:

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<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

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In this problem, the function is given by:

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Hence the average rate of change is given by:

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And the correct option is:

B. -32 ft/s; the average change in altitude of the ball each second over that interval.

More can be learned about the average rate of change of a function at brainly.com/question/24313700

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