Statistic Quiz

Statistic Quiz

(For Questions 1, 2, 3 and 4)There are25 students enrolled in Stat 200 course.Their scores on Test one is

written in following table 1.

86    52    69    74    64
83    73    78    77    78
58    88    64    73    71
98    75    78    90    83
72    91    81    85    64

1.    (2 points) construct a frequency distribution on scores.

2.    (3 points) Construct a relative frequency distribution test one scores repeated below:

scores    Frequency
50-59    3
60-69    4
70-79    12
80-89    6
90-99    4

3.    (3 points) construct a histogram of the scores for the given frequency.

4.    (2 points) Constructstemand leaf  display for the scores in Table1.

5.    (2 points) Give a5-number summary of the scores of the Test 1, and construct the corresponding box plot.

(For Questions 6, 7, &8)I have a collection of5 ancient gold coins.Their weights, in ounces,are 23.1, 18.6, 33.5, 12.4, and 27.1.

6.    (2 points) what is the mean weight of my ancient gold coins?

7.    (2 points)how do you consider this collection,a population or a sample? Why?

8.    (2 points) what is the variance and standard deviation in weight of my coin collection?

9.    (2 points) a mathematics department has 9 members.Their ages are 35, 45, 59, 63, 65, 28,34, 44, and 54.

(a)    Find the mean age

(b)    Will it be considered as parameter or statistic?

10.    (3 points)the cost of five homes in a certain are a is given as below:
Which of the central tendency should be used?
(a)    Mean(b) Median    (c) Mid range  (d) Mode

possible maximum scores are different in these two sections.We notice thatStudentA4in Section A andStudentB2in

Section B have the same numerical score.

Section A    Student    Score

Section B    Student    Score
A1    70        B1    15
A2    42        B2    61
A3    53        B3    48
A4    61        B4    90
A5    22        B5    85
A6    87        B6    73
A7    59        B7    48
—–    ——        B8    39

How do these two students stand relative to their own classes?And,hence,which student performed better?

Explain your answer.


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