Question

Class Limits (Age in years) , Frequency

0-9 ,1

10-19, 7

20-29, 12

30-39 ,12

40-49, 23

50-59, 23

60-69 ,32

70-79 ,9

80-89 ,4

90-99, 1

Find the mean, calculate sample variance and sample standard deviation,

Answer #1

Solution:

Group | Midpoint X | Frequency f | f*x |
x^{2} |
f*(x^{2}) |

0-9 | 4.5 | 1 | 4.5 | 20.25 | 20.25 |

10 -19 | 14.5 | 7 | 101.5 | 210.25 | 1471.75 |

20-29 | 24.5 | 12 | 294 | 600.25 | 7203 |

30-39 | 34.5 | 12 | 414 | 1190.25 | 14283 |

40-49 | 44.5 | 23 | 1023.5 | 1980.25 | 45545.75 |

50-59 | 54.5 | 23 | 1253.5 | 2970.25 | 68315.75 |

60-69 | 64.5 | 32 | 2064 | 4160.25 | 133128 |

70-79 | 74.5 | 9 | 670.5 | 5550.25 | 49952.25 |

80-89 | 84.5 | 4 | 338 | 7140.25 | 28561 |

90-99 | 94.5 | 1 | 94.5 | 8930.25 | 8930.25 |

SUM | 495 | 124 | 6258 | 32752.5 | 357411 |

1)

= = 6258/124 = 50.4677419355

**Mean = 50.4677419355**

2)

Variance =

= [357411/124] - [50.4677419355^{2}]

= 335.353798125

**Variance = 335.353798125**

3)

Standard deviation = positive root of variance = 18.3126676955

**Standard deviation = 18.3126676955**

Construct the cumulative frequency distribution for the given
data.
Age (years) of Best Actress when award was won
Frequency
20-29
2828
30-39
3737
40-49
1414
50-59
22
60-69
77
70-79
22
80-89
22
Age (years) of Best Actress when award was won
Cumulative Frequency
Less than 30
nothing
Less than 40
nothing
Less than 50
nothing
Less than 60
nothing
Less than 70
nothing
Less than 80
nothing
Less than 90
nothing

please do it in
Excel
Classes
F
x
10-19
2
4
20-29
19
23
30-39
7
68
40-49
2
4
50-59
1
1
60-69
0
0
1. Mean
2. Median
3. Mode
4. Standard divition
5. quartiles, percentiles and the correlation
coefficient

1) Given the data set below
25 52 67 23 78 89 57 90 32 77
45 48 62 54 94 69 46 79 40 33
21 57 84 54 23 34 68 63 61 76
87 78 39 50 70 60 32 65 73 45
28 82 66 79 71 80 46 66 24 90
a) Construct a Frequency Distribution with 8 classes and a class
width of 10
b) Construct a Relative Frequency distribution from the frequency
distribution...

You are a teacher of a
group of 30 students and then take the test.
56
50
45
42
33
34
42
55
58
51
50 48
34
42
48
49
30
25
22
44
56
52
48 49
48
40
45
51
47 39.
1. Organize the scores
into a simple frequency distribution.
2. Calculate the fashion
3. Calculate the median
4. Calculate the average
5. Calculate the Mean Deviation
6. Calculate the Standard Deviation of the scores...

This dataset contains consumer responses indicating the number
of times they had to send their product for repair and their
satisfaction with the repair process. Create a graph which can be
used to visually demonstrate the relationship between the two
columns of data. Ensure that the chart is professional with
appropriate titles, axis labels, etc. Note any observations you see
in your visualization (type these as sentences directly into an
Excel cell(s)).
Sample
Satisfaction Rating
Repair Requests
1
63%
13...

Create the appropriate frequency distribution graph by
hand.
Below are the speeds of cars clocked by radar on a 35-mph zone of a
road on a particular afternoon.
99, 96, 94, 91, 90, 90, 89, 87, 85, 84, 82,
80, 79, 78, 77, 76, 34, 75, 75, 74, 74, 72,
70, 69, 68, 68, 68, 66, 66, 65, 63, 63, 60,
59, 58, 58, 54, 50, 48, 46, 42, 38, 33, 12

Using the accompanying Student Grades data, construct a scatter
chart for midterm versus final exam grades and add a linear
trendline. What is the model? If a student scores 7878 on the
midterm, what would you predict her grade on the final exam to
be?
Student
Midterm
Final Exam
1
75
64
2
85
91
3
80
68
4
88
83
5
76
60
6
67
80
7
78
74
8
95
94
9
67
61
10
93
87
11...

Age
18-21
22-29
30-39
40-49
50-59
60 and over
Responded
73
255
245
136
138
202
Refused
11
20
33
16
27
49
A. If two selections are made with replacement, find the
probability that both people refused to respond.
B. If two selections are made without replacement, find the
probability that both people refused to respond.
C. Compare the results from parts (a) and (b). Should we treat
the two selections as independent or dependent events?
***Please show all...

6. Using the class data (see Blackboard file - "Class Survey
Data - PSS-10 and GAS") calculate the correlation between the GAS –
Goal disengagement and the GAS – Goal reengagement scores. Write
the results in a statistical statement.
7. Using the class data calculate the correlation between the
GAS – Goal disengagement and the PSS-10 scores. Write the results
in a statistical statement.
8. Using the class data calculate the correlation between the
GAS – Goal reengagement scores and...

MALE :Student # Gender Height Shoe Age Hand
1 M 67 10 19 R
2 M 74 12 17 R
3 M 72 11.5 19 R
4 M 69 10 35 R
5 M 66 9 18 R
6 M 71 10.5 17 R
7 M 72 10.5 17 R
8 M 66 10 20 R
9 M 67 10 18 R
10 M 71 10.5 24 R
11 M 66 10 21 R
12 M 71 10.5 18 R...

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