Question

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 and interpret the
result (heterogeneous or homogeneous).

7. Calculate the variance

8. Convert the scores into percent and grant the corresponding
grade (grade):

90 - 100 A

80 - 89 B

70 - 79 C

60 - 69 D

0 - 59 F

9. Illustrate the result of the notes on a pie chart

10. Illustrate the result of the notes in a bar graph

Answer #1

1.

Marks |
Frequency |

22 |
1 |

25 |
1 |

30 |
1 |

33 |
1 |

34 |
2 |

39 |
1 |

40 |
1 |

42 |
3 |

44 |
1 |

45 |
2 |

47 |
1 |

48 |
4 |

49 |
2 |

50 |
2 |

51 |
2 |

52 |
1 |

55 |
1 |

56 |
2 |

58 |
1 |

N= |
30 |

2.

Median of Marks

Median of Marks = 47.5

3.

Mean of Marks

Mean of Marks = 44.4333

4.

Mean deviation about mean = 7.08000

5.

Standard deviation of Marks = 9.04656

6.

Variance 81.8402

A mathematics achievement test consisting of 100 questions was
given to 50 sixth grade students at maple Elementary School. The
following data show the number of questions answered correct by
each student.
75 48 46 65 71 49 61 51 57 49 84 85 79 85 83 55 69 88 89 55 61
72 64 67 61 77 51 61 68 54 63 94 54 53 71 84 79 75 65 50 45 65 77
71 63 67 57 63...

Student Grades
Student
Test
Grade
1
76
62
2
84
90
3
79
68
4
88
84
5
76
58
6
66
79
7
75
73
8
94
93
9
66
65
10
92
86
11
80
53
12
87
83
13
86
49
14
63
72
15
92
87
16
75
89
17
69
81
18
92
94
19
79
78
20
60
71
21
68
84
22
71
74
23
61
74
24
68
54
25
76
97...

2a. Describe the sample and population you are studying.
I am studying customers' satisfaction level with their
car insurance plan.
2b. Calculate the sample mean and sample standard deviation for
your variable. Keep at least four decimal places.
2c. Calculate the standard error and the margin of error for a 90%
confidence interval. Keep at least four decimal places.
Data:
36
18
66
43
28
39
47
40
24
46
48
57
36
58
39
62
43
65
74
36...

C) Calculate the mean, mode, median, P65 for the following data:
75, 89, 89, 89, 56, 77, 99, 91, 80, 76, 84, 83, 101, 111, 94. (Show
all process to reach the final result).
D) Find the mean for the following frequency distribution: (Show
all the
process to
reach the final result).
Limits
Frequency
30-39
15
40-49
6
50-59
12
60-69
7
70-79
10
80-89
13
90-99
8

The test scores of
30 students are listed below. Find the five-number summary.
31
41 45
48
52
55
56
58
63
65
67
67 69
70
70
74
75
78
79
79
80
81 83
85
85
87
90
92
95
99
Find the
percentile that corresponds to a score of 74....

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...

A statistics professor would like to build a model relating
student scores on the first test to the scores on the second test.
The test scores from a random sample of 21 students who have
previously taken the course are given in the table.
Test Scores
Student
First Test Grade
Second Test Grade
1
50
70
2
91
58
3
55
74
4
58
65
5
79
60
6
70
60
7
97
48
8
51
73
9
51
73...

Taste test for difference betwen fresh and frozen meat under
different drinking conditions for College students.
Description: Comparison of 6 experimental Drinking conditions
for 55 college students.
Variables
1. Condition (1 = Cold Water, 2 = Milk, 3 = Beer, 4 = Soda, 5 =
Lemoade, 6 = Powerade)
2. Fresh Meat taste Score (out of 150)*
3. Frozen Meat taste Score (out of 150)*
*Note: Higher scores indicate better performance
Taste Test Data
Description: Burger taste ranged from 0...

For each of the data sets provided below, calculate the mean,
median, mode, and standard deviation.
1) Data Set 1:
23, 26, 50, 39, 55, 64, 50, 10, 42, 35, 51, 42, 43, 56, 64, 48,
48, 57, 27, 37
2) Data Set 2:
26, 31, 10, 37, 38, 35, 30, 24, 26, 27, 24, 32, 32, 19, 34, 33,
14, 32, 24, 39, 30

The test scores of 40 students are listed below.
30
35 43 44 47 48 54 55 56 57
59
62 63 65 66 68 69 69
71 72
72
73 74 76 77 77 78 79 80 81
81 82 83 85 89
92 93 94 97
98
a)
Find the lower and upper quartiles for the data.
b)
Find the interquartile range.
c)
Draw the box-and-whisker diagram for the data.

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