Mathematics, 11.06.2020 23:57 yesseniaroman21

Calculating the standard deviation (σ) for a list of n data values: 1. Calculate the average value. 2. Subtract the average value from each individual data value and enter the results in a column to the right of the data values. 3. Square each of the results obtained in step 2, and enter these in a new column to the right. 4. Sum the squares obtained in step 3. 5. Divide the result from step 4 by (n - 1) (the total number of measurements minus 1). 6. Take the square root of the result from step 5. This is the standard deviation. Expressed as an equation, the standard deviation of n measurements of data value x is: σ = ( Σ (x - xavg)2 / (n - 1) )1/2 Using the 6 steps above (or the spreadsheet function), calculate the standard deviation for the six values on page 16 and enter your answer below. Enter your result with only one sig fig, and remember to use a zero before the decimal point for values less than 1, for example 0.05 or 0.01.

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Answer from: arianayoung

Step-by-step explanation:

The missing list of the data values for the question are as follows:

1 1.03

2 1.01

3 0.96

4 0.96

5 0.99

6 1

7 1.01

8 0.98

9 1.02

10 1.03

11 1

12 0.99

13 1

14 0.97

15 1.01

x_i $(x_i - \bar x)$ $(x_i - \bar x)^2$

1 1.03 0.03 0.0009

2 1.01 0.01 0.0001

3 0.96 -0.4 0.0016

4 0.96 -0.4 0.0016

5 0.99 -0.1 0.0001

6 1 0.0 0.0

7 1.01 0.1 0.0001

8 0.98 -0.2 0.0004

9 1.02 0.2 0.0004

10 1.03 0.3 0.0009

11 1 0.0 0.0

12 0.99 -0.1 0.0001

13 1 0.0 0.0

14 0.97 -0.03 0.0009

15 1.01 0.1 0.0001

The average value for x is calculated as:

$\bar x = \dfrac{14.96}{15}$

$\bar x = 0.997 \\ \\ \bar x \approx 1.00$

$\sum (x-x_i)^2 = 0.0072$

$\dfrac{\sum (x-x_i)^2 }{n-1}= \dfrac{0.0072}{15-1} \\ \\ = \dfrac{0.0072}{14} \\ \\ = 0.00051$

$\sigma = \sqrt{\dfrac{\sum (x-x_i)^2 }{n-1}} = \sqrt{0.00051} \\ \\ \sigma =0.0226 \\ \mathbf { \\ \sigma =0.02 \ to \ one \ significant \ figure}$

Answer from: Quest

step-by-step explanation:

5+7+*+u7*676+^& r8

Answer from: Quest

example you can find the perimeter by addig all of its respective sides as such: (12+x)+(12+x)+(7+y)+(7+y). adding like terms will result in 2x+2y+38 if you chose xy+7x+12y+84, you multiplied the two sides to find the area. if you chose x+y+19

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Calculating the standard deviation (σ) for a list of n data values: 1. Calculate the average value....

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