Yes, people need to put the answers. Otherwise, it is just pointless to even ask your question.
Answer:
Option C) 0.2358
Step-by-step explanation:
We are given the following data set:
0.23105, 0.4725, 0.8765, 0.4865, 0.5326, 0.7976
Formula:
where
are data points,
is the mean and n is the number of observations.
![Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}](https://tex.z-dn.net/?f=Mean%20%3D%20%5Cdisplaystyle%5Cfrac%7B%5Ctext%7BSum%20of%20all%20observations%7D%7D%7B%5Ctext%7BTotal%20number%20of%20observation%7D%7D)
![Mean =\displaystyle\frac{3.39675}{6} = 0.566125](https://tex.z-dn.net/?f=Mean%20%3D%5Cdisplaystyle%5Cfrac%7B3.39675%7D%7B6%7D%20%3D%200.566125)
Sum of squares of differences = 0.1122752556 + 0.008765640625 + 0.09633264063 + 0.006340140625 + 0.001123925625 + 0.05358067562 = 0.2784182787
![S.D = \sqrt{\frac{0.2784182787}{5}} = 0.2358](https://tex.z-dn.net/?f=S.D%20%3D%20%5Csqrt%7B%5Cfrac%7B0.2784182787%7D%7B5%7D%7D%20%3D%200.2358)
Thus, the standard deviation for given data is
Option C) 0.2358
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Define x :
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Let the number be x.
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Construct equation:
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<span>Nine more than the product of 4 and the number is 73
</span>⇒4x + 9 = 73
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Solve for x:
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4x + 9 = 73
4x = 73 -9
4x = 64
x = 16
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Answer: Ken's number is 16.
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Answer:
430 cm^2
Step-by-step explanation:
Formula is S.A. = 2(WlxHlxWH)
W = width
H = height
L = length
So this table is all about showing you how to calculate the standard deviation in various steps.
Step 1: calculate the average (=mean) of the x values. You probably know how to do this, add all values and divide by the number of values. (53+51+48+49+37)/5 = 47.6. This is your
.
Step 2: calculate
. This is the "distance" of your x value to the average. This has been done for you already in the second column. E.g. 53-47.6=5.4.
Step 3: square the results of
. This is also done for you already, it is the third column.
Step 4: Add (sum) the
values. So add the third column. I get 155.2 when I do that.
Step 5: Divide that sum by the number of x values. 155.2/5 = 31.04 ≈ 31. That number is your variance right there!
Step 6: Take the square root of the variance. √31.04 ≈ 5.571 ≈ 5.6. This is your standard deviation.