Question

Find the population variance and standard deviation for the set
of data: **13, 7, 21, 4, 15, 23, 7,
6.**

Answer #1

Solution:

Mean :

= (X) / n

= ( 13+7+21+4+15+23+7+6 ) / 8

= 96 / 8

= 12

Population Variance :

=
( X - )^{2}
/ n

= ( 13 - 12 )^{2} + ( 7 - 12 )^{2} + ( 21 - 12
)^{2} + ( 4 - 12 )^{2} + ( 15 - 12
)^{2} + ( 23 - 12 )^{2} + ( 7 - 12
)^{2} + ( 6- 12 )^{2}

= 362 / 8

= **45.25**

Population standard deviation :

=
( X - )^{2}
/ n

= Variance.

= 45.25

= **6.7268**

Find the population variance for the following data set: 13,
23, 26, 17, 21

1) Find the sample variance and standard deviation
15
36
21
20
17
14
2)Find the population variance and standard deviation for the
following population.
12 4 17 7 24 26

Find the range, mean, variance and standard deviation for the
given set of data. Round your answers to the nearest tenth.
3, 4, 7, 11, 12, 12, 15, 16

Find the mean, variance, and standard deviation from the sample
data.
x f
0-3 42
4-7 84
8-11 55
12-15 83
16-19 112
20-23 24

For the following set of data, find the population standard
deviation, to the nearest hundredth.
Data
Frequency
17
3
22
6
23
2
27
6
29
8
32
2
35
8
36
5
37
5

Data Set A: 11, 12, 13
Data Set B: 9, 10, 11, 12, 13, 14, 15
Data Set C: 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18
Find the mean, sample standard deviation–treating the data as a
sample, and the population standard deviation–treating the data as
a population.

Assuming that the population standard deviation is
unknown, calculate the 95% confidence interval of the
population mean.
The following is the data. Calculating Process should be shown
by Excel (Formulas). What formulas in statistics are used?
7
21
23
24
18
16
2
19
11
6
3
13
17
9
5
12
13
17
4
14
15
25
12
24
22
14
14
20
15
11
26
17
21
11
4
13
16
14
13
14
25
23
9
15...

Using the same data set as in 1, find the variance, standard
deviation, and range, using the formulas. Using the same data set
as in 1, find the variance, standard deviation, and range, using
the formulas. Show the formulas and intermediate steps. Round your
answers to the correct number of decimal places
data set 9, 2, 8, 2, -9, 5, 6, 2, -5, -9, 9, 4, 5, 5, -3, -1,
0

Calculate the range, population variance, and population
standard deviation for the following data set. If necessary, round
to one more decimal place than the largest number of decimal places
given in the data. 2,3,4,5,6,7,8,9,10,11

Calculate the range, population variance, and population
standard deviation for the following data set. If necessary, round
to one more decimal place than the largest number of decimal places
given in the data.
5,6,7,8,9,10,11,12,13,14

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