Question

A.)

What is the standard deviation of the following: 50, 46, 44, 36, 44, 48

*Round to 2 decimal places as needed.*

B.)

What is the standard deviation of the following: 46, 36, 46, 30, 36, 29

*Round to 2 decimal places as needed.*

C.)

What is the standard deviation of the following: 15, 50, 29, 10, 21, 12

*Round to 2 decimal places as needed.*

Answer #1

A) First we have to calculate sample mean.

Now, We have to construct below table to compute standard deviation (sd)

X |
X- |
(X-)^{2} |

50 | 5.33 | 28.4089 |

46 | 1.33 | 1.7689 |

44 | -0.67 | 0.4489 |

36 | -8.67 | 75.1689 |

44 | -0.67 | 0.4489 |

48 | 3.33 | 11.0889 |

Total |
117.3334 |

Sample standard deviation (sd) is calculated using below formula

Population standard deviation() is calculated using below formula

Using above approach, we can compute sample and population standard deviation for B and C data

B) Sample standard deviation (sd) = 7.44 and population standard deviation = 6.79

C) Sample standard deviation (sd) = 14.99 and population standard deviation = 13.68

Dataset:
Husband Wife
53 50
38 34
46 44
30 36
31 23
26 31
29 25
48 51
65 46
29 26
28 23
29 32
25 22
22 21
21 24
43 50
24 27
38 33
33 26
35 29
40 29
27 25
27 24
49 38
48 39
27 27
26 24
40 34
35 37
21 26
32 39
30 28
60 52
36 40
25 23
66 55
52 34
41 40
43 ...

Use the following information to calculate the expected return
and standard deviation of a portfolio that is 50 percent invested
in 3 Doors, Inc., and 50 percent invested in Down Co.: (Do
not round intermediate calculations. Enter your answers as a
percent rounded to 2 decimal places. Omit the "%" sign in your
response.)
3 Doors, Inc.
Down Co.
Expected return,
E(R)
14
%
12
%
Standard deviation, σ
44
46
Correlation
.29
Expected return
%
Standard deviation...

What is the standard deviation of the following: 12, 40, 31, 23,
13, 17 Round to 2 decimal places as needed.

Given that x is a normal variable with mean μ
= 48 and standard deviation σ = 6.2, find the following
probabilities. (Round your answers to four decimal places.)
(a) P(x ≤ 60)
(b) P(x ≥ 50)
(c) P(50 ≤ x ≤ 60)

Altering Data Sets: Consider the following data
set:
24, 31, 34, 36, 40, 44
Without calculating the statistics, describe what would happen
in each case.
(a) The 24 is replaced by a 12.
The mean would decrease.The median would stay the
same. The standard deviation would
increase.All of these are true.
(b) The 24 becomes a 22 and the 44 becomes a 46.
The median would increase.The standard deviation would
increase. The mean would increase.All of
these are true.
(c) The 36 becomes a 44.
The mean...

International
39
54
46
39
69
47
48
28
54
62
Domestic
29
36
33
34
38
37
33
29
43
39
43
42
32
35
39
1-a. What is the critical value at the α = 0.01 level? If there
are two critical values, enter the positive one. If there is one
critical value you need to make sure it has the correct sign
depending on what type of test it is. Remember, Excel only provides
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students that got an A= 56 41 40 39 36 36 30 25
The variance of the number of books read by students who earned
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(Round to four decimal places as needed.)
The standard deviation of the number of books read by students
who earned an A grade is?
(Round to the nearest thousandth as needed.)
students that got a B or C= 40 28 23 22 21 16
The variance of the number of...

Given that x is a normal variable with mean μ = 48 and standard
deviation σ = 6.3, find the following probabilities. (Round your
answers to four decimal places.) (
a) P(x ≤ 60)
(b) P(x ≥ 50)
(c) P(50 ≤ x ≤ 60)
Please break down explanation a-c.

For the following data
10,
15, 30, 30, 31, 31, 32, 32, 33, 33, 34, 36, 38, 39, 40, 40, 43, 44,
44, 45, 46, 46, 46, 47, 47, 48, 48,
60,
70.
Make a frequency diagram with 6 classes
Class
Interval (CI) Frequency (f)
1
2
3
4
5
6
Give the five-number summary
1. minimum…………………………………….
2. Q1……………………………………………….
3. Q2………………………………………………
4. Q3……………………………………………...
5. Maximum…………………………………...
Are there any outliers, if so, what are
they?
No.
Yes. The lower bound……………………………. The...

A population has a mean of 50 and a standard deviation of 10. If
a random sample of 36 is taken, what is the probability that the
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