1. Calculate SS, variance, and standard deviation for the following sample:

4, 7, 3, 1, 5

Solution:

Sum of the squares (SS) = (4)^2+(7)^2+ (3)^2 +(1)^2 + (5)^2

SS= 16+ 49+9+1+25

SS= 100

We know that the formula for find the variance = Σ x^2/n - ( Σx/n)^2

Where n is the number of data's

Now we have to find Σx = 4+7+3+1+5

Σx = 20

Σ x^2 = (4)^2+(7)^2+ (3)^2 +(1)^2 + (5)^2

Σx^2= 100

Here n= 5

Now, plug in those values in the above formula, we get

Variance = 100/5 - (20/5)^2

= 20 - (4)^2

= 20 - 16

Variance(σ^2) = 4.

Variance denoted by σ^2

Now, we have to find the Standard deviation. ...

Solution Summary

The solution provides a lengthly, detailed explanation regarding variability, and how to find the range, standard deviation, and cariance of multiple questions. The expert provides step-by-step instructions on how to achieve an accurate answer for each question.

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#1- Indicate and defend which measures of central tendency and variability you think is most appropriate for these data:
3,5,3,2,8,4,6,7,1,4,3,2
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24,16

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1. Calculate the mean for samples where:
a. n=10 sum of x=85 ?
b. n= 16 sum of x = 400 ?
c. n =45 sum of x =35 ?
d. n=18 sum of x =242 ?
2. Calculate the mean, median, and mode for each of the following samples:
a. 7, -2, 3, 3, 0, 4
b. 2, 3, 5, 3, 2, 3, 4, 3, 5, 1, 2, 3, 4
c. 51, 50, 47, 50, 48, 41, 59, 68, 45,

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Let's say we have two different sets of data.
Explain which of the two mentioned measures can more accurately find which of these two data sets have more spread or variability in their data values.
You can se

The number of cars that travel through an intersection between noon and 1pm is measured for 30 consecutive days. The results of the 30 observations are: 61,62,63,63,64,64,66,66,67,68,68,68,68,69,69,69,69,70,70,70,70,71,71,72,73,74,74,75,76,and 79
Find: a.) Range
b.) Standard Deviation
c.) The population standar