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Rudiy27
3 years ago
11

Use this chart to answer the following questions.

Mathematics
1 answer:
jekas [21]3 years ago
6 0

Answer:

think its c

Step-by-step explanation:

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Adimas found the mean of her 11 math test scores for the first semester. X = StartFraction (76 87 65 88 67 84 77 82 91 85 90) Ov
Reika [66]

To find the solution we will first find the difference between each number and mean, and then substitute the value in the formula of standard deviation.

The standard deviation is 8.4477 and the variance is 71.40.

Given to us

  • Test scores of Adimas = (76, 87, 65, 88, 67, 84, 77, 82, 91, 85, 90)
  • Mean = 81

<h3>Standard Deviation</h3>

difference between each number and mean,

x_1 -\mu= 76-81 = -5\\&#10;x_2-\mu = 87-81 = 6\\&#10;x_3-\mu = 65-81 = -16\\&#10;x_4-\mu = 88 -81 = 7\\&#10;x_5-\mu = 67-81 = -14\\&#10;x_6 -\mu= 84-81 = 3\\&#10;x_7 -\mu= 77-81 = -4\\&#10;x_8 -\mu= 81-81 = 1\\&#10;x_9 -\mu= 91-81 = 10\\&#10;x_{10}-\mu=85-81 = 4\\&#10;x_{11} -\mu= 90-81 = 9

\sum(x-\mu)^2 = x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2+x_9^2+x_{10}^2+x_{11}^2

                 =  25 + 36 + 256 + 49 + 196 + 9 + 16 + 1 + 100 +16 + 81

                 = 785

\rm{ Standard\ Deviation = \sqrt{\dfrac{\sum{(X-\mu)^2}} {n}

                             \sigma= \sqrt{\dfrac{785}{11}}\\\\&#10;\sigma = 8.4477

<h3>Variance</h3>

Variance = \sigma ^2

              = 71.40

Hence, the standard deviation is 8.4477 and the variance is 71.40.

Learn more about Standard Deviation:

brainly.com/question/12402189

3 0
3 years ago
The area of the rectangle shown is 24 square inches. how much longer is its length than its width?
Lina20 [59]
If one length is 6in, the other would be 4, since 6×4 is 24, which is the area of the rectangle. The length is 2 longer than the width, 6-4=2.
5 0
3 years ago
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Michael Jackson's "Thriller" album has sold 29,000,000 copies. This number can be written as n x 107.
olganol [36]

Answer:

29

Step-by-step explanation:

6 0
4 years ago
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A population of bunnies triples every year if they were two bunnies at the beginning write an equation to figure out the total n
Alik [6]

Answer:

2 times 3 = x

Step-by-step explanation:

thats how i would do it

4 0
3 years ago
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Simplify 32y^2z/4y^4z^5
Maslowich

Answer:

8y^6z^6

Step-by-step explanation:

Reduce the numbers with greatest common divisor 4.

32y^2 x z/4 x y^4 z^5 = 8y^2 zy^4 z^5

Calculate the product.

8y^6z^6

6 0
3 years ago
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