Question

Find the standard deviation of the sample. 2, 3, 5, 6, 9, 12, 13, 16, 19, 20

a. 7.081 b. 5.359 c. 5.812 d. 6.287 e. 6.519

Answer #1

steps for standard deviation-

1. work out the mean.

2. then for each number, subtract the mean and squarethe results

3. then work out the mean of those squared results.

4. take the square root of that and we are done.

1.mean = (2+3+5+6+9+12+13+16+!9+20)/10 = 10.5

2. (2-10.5)(2-10.5) = 72.25

(3-10.5)(3-10.5) = 56.25

(5-10.5)(5-10.5) = 30.25

similarly for other numbers

3. mean of the numbers calculated in step 2-

72.25+56.25+30.25+20.25+2.25+2.25+6.25+30.25+72.25+90.25 = 382.5

382.5/10 = 38.25

4. square root of 38.25 = 6.185

Find sample standard deviation from these values
20, 19, 20, 20, 8, 10 , 16, 13 , 11

Consider the following sample data values.
18 13 2 4 9 6 5 1 12
find sample variance and sample standard deviation

Find the sample variance and standard deviation. 21 16 5 8
12

Consider the following sample data.
6
3
19
9
5
12
Calculate the z-score for the following values.
a. 4
b. 18
c. 15
d. 19
(Round to two decimal places as needed.)

Consider the following sample data.
9
13
6
4
5
19
Calculate the z-score for the following values.
a. 12
b. 10
c. 11
d. 4
a. The z-score for
12
is
nothing
.
(Round to two decimal places as needed.)

Consider the following sample:
x
9
6
7
5
8
y
19
14
16
12
15
Calculate the coefficient of correlation. Does correlation
coefficient provide information about the relationship between x
and y? Explain.
Find the linear regression line.
Find y, if x is 10.

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.

Find variance of the following stocks A,B and C:
Stock
A
B
C
1
3
19
-2
2
5
17
4
3
7
15
0
4
9
13
8
5
11
11
12
6
13
9
14
8
15
7
-8
9
17
5
16
10
19
3
20

Consider a sample 12, 5, 9, 11, 8, the sample standard deviation
is
7.5
6
2.74
2.45

Find the winsorized sample standard deviation of the
following:
X = [ 6, 0, 13, 10, 7, 16, 13 ]

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