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Title: For the given data below mean etc...,
Description: notes of For the given data below mean etc...,
Description: notes of For the given data below mean etc...,
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For the given data below, determine:
•
a) the mean
•
b) the standard deviation
•
c) the variance
•
d) the coefficient of variation
•
e) the 95% confidence interval for the mean
Also (f) construct a histogram using a range from 7
...
5 with
intervals
of
0
...
8, 9
...
8, 9
...
4, 10
...
2, 11
...
4, 10, 10
...
9, 10
...
8,
9
...
5, 8
...
8, 10
...
1, 9
...
6, 10
...
9
To determine the statistical measures for the given records set, let's go
through every step:
a) The mean: To find the mean (average), we sum up all the data points
and divide by the total number of data points
...
8 + 9
...
8 + 9
...
4 + 10
...
2 + 11
...
4 + 10 + 10
...
9 + 10
...
8 + 9
...
5 + 8
...
8 + 10
...
1 + 9
...
6 + 10
...
9 = 234
...
Therefore, the mean
is: 234
...
7792 (rounded to 4 decimal locations)
...
It quantifies how a great deal the records deviates from the
suggest
...
Square each distinction
...
Divide the sum by means of the entire quantity of data factors
...
Using the given data set, let's calculate the standard deviation:
Step 1: Subtract the mean from each data point:
(8
...
7792), (9
...
7792), (9
...
7792), (9
...
7792), (10 9
...
4 - 9
...
1 - 9
...
2 - 9
...
3 - 9
...
4 - 9
...
7792), (10
...
7792), (7
...
7792), (10
...
7792), (9
...
7792), (9
...
7792), (9
...
7792), (8
...
7792),
(8
...
7792), (10
...
7792), (10
...
7792), (9
...
7792), (9
...
7792), (10
...
7792), (8
...
7792)
Step 2: Square each difference:
0
...
00056896, 0
...
00033824, 0
...
00031344, 0
...
00517696, 1
...
00031344,
0
...
00031344, 0
...
00031344, 0
...
00031344, 0
...
01992704, 0
...
07527344,
0
...
000
Title: For the given data below mean etc...,
Description: notes of For the given data below mean etc...,
Description: notes of For the given data below mean etc...,