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1) Twenty-five randomly selected students were asked the number of...

1) Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:

# of movies

Frequency

0

5

1

9

2

6

3

4

4

1


Use the information above to complete the following:

A: Find the sample mean

B. Find the sample standard deviation

C: Find the first quartile

D: Find the median

E: Find the third quartile

You must show all your calculations to support your answers.

2) Following are the published weights (in pounds) of all of the team members of the Seattle Seahawks from a previous year.

177;205;210;210;232;205;185;185;178;210;206;212;184;174;185;242;188;212;215;247;241;223;220;260;245;259;278;270;280; 295;275;285;290;272;273;280;285;286;200;215;185;230;250;241;190;260;250;302;265;290;276;228;265

Use the above information to answer the following:

Organize the data from smallest to largest value.

Find the median.

Find the first quartile.

Find the third quartile.

The middle 50% of the weights are from _______ to _______.

If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why?

If our population were the Seattle Seahawks, would the above data be a sample of weights or the population of weights? Why?

3) Twelve teachers attended a seminar on mathematical problem solving. Their attitudes were measured before and after the seminar. A positive number change attitude indicates that a teacher's attitude toward math became more positive. The twelve change scores are as follows: 3; 8; -1; 2; 0; 5; -3; 1; -1; 6; 5; -2

a. What is the average change score?
b. What is the standard deviation for this population?
c. What is the median change score?
d. Find the change score that is 2.2 standard deviations below the mean.

4) Three students were applying to the same graduate school. They came from schools with different grading systems.

Which student had the best G.P.A. when compared to his school? Explain how you determined your answer.

Student

G.P.A

School Ave. G.P.A

School Standard Deviation

Thuy

2.7

3.2

0.8

Vichet

87

75

20

Kamala

8.6

8

0.4

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