13,14,29,26,41,53,60,7,89,14
Based on the numbers above what is the variance and the standard deviation of the data set.
I think 616.2 is the variance
I think 24.83 is the standard deviation
Am I correct????
The choices for the variance
A. 231
B. 616.2
C. 685.2
D. 1,197.2
The choices for the standard deviation
A.0.2
B.24.83
C.26.18
D.34.61
Go on :
wolframalpha dot com
When page be open in rectangle type :
variance {13,14,29,26,41,53,60,7,89,14}
and click option =
Then in rectangle type :
standard deviation {13,14,29,26,41,53,60,7,89,14}
The variance = 685.156 approx. 685.2
The standard deviation = 26.1755 approx. 26.18
Thank u
To find the variance of a data set, you need to follow these steps:
1. Calculate the mean (average) of the data set.
2. Subtract the mean from each data point and square the result.
3. Calculate the mean of the squared differences obtained in step 2.
Let's calculate the variance using these steps.
First, let's find the mean:
(13 + 14 + 29 + 26 + 41 + 53 + 60 + 7 + 89 + 14) / 10 = 356 / 10 = 35.6
Next, subtract the mean from each data point and square the result:
(13 - 35.6)^2 = 22.6^2 = 510.76
(14 - 35.6)^2 = 21.6^2 = 466.56
(29 - 35.6)^2 = 6.6^2 = 43.56
(26 - 35.6)^2 = 9.6^2 = 92.16
(41 - 35.6)^2 = 5.4^2 = 29.16
(53 - 35.6)^2 = 17.4^2 = 302.76
(60 - 35.6)^2 = 24.4^2 = 597.76
(7 - 35.6)^2 = 28.6^2 = 819.56
(89 - 35.6)^2 = 53.4^2 = 2849.56
(14 - 35.6)^2 = 21.6^2 = 466.56
Now, let's calculate the mean of the squared differences:
(510.76 + 466.56 + 43.56 + 92.16 + 29.16 + 302.76 + 597.76 + 819.56 + 2849.56 + 466.56) / 10 = 4569.84 / 10 = 456.984
The variance is given by:
Variance = mean of squared differences = 456.984
To calculate the standard deviation, take the square root of the variance:
Standard deviation = √(456.984) ≈ 21.398
Therefore, the correct answers are:
Variance ≈ 456.984
Standard deviation ≈ 21.398
Your initial answers were incorrect.