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3 years ago

The answer please thanks

Mathematics

2 answers:

dmitriy555 [2]3 years ago

8 0

I think the answer is B hopes the help have a fantastic day

vampirchik [111]3 years ago

3 0

The answer is 960
Quotient is the result of division.
116+76=192x5=960
960/5=192
192-76=116

Equation would be x/5-76=116

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$\sigma = 11.28$ --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

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$\bar x = \frac{\sum fx}{\sum f}$

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$\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}$

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Next, calculate the variance using the following formula:

$\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}$

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So, we have:

$\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}$

$\sigma^2 = \frac{11580.6816}{91}$

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$\sigma = \sqrt{\sigma^2}$

$\sigma = \sqrt{127.26}$

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<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

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3 years ago

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