STAT 200 QUIZ 1

(For Questions 1, 2, 3 and 4) There are 25 students enrolled in Stat 200 course. Their scores on Test one is written in following table 1.

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

    

    

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

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

4. (2 points) Construct stem and leaf display for the scores in Table 1.

5. (2 points) Give a 5-number summary of the scores of the Test 1, and construct the corresponding boxplot.

(For Questions 6, 7, & 8) I have a collection of 5 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 area is given as below:

$148,000, $158,000, $185,000, $138,000 𝑎nd $125,000

Which of the central tendency should be used?
(a) Mean (b) Median (c) Midrange (d) Mode

11. (7 points) Below is a summary of the Quiz 1 for two sections of STAT 200 last spring. The questions and possible maximum scores are different in these two sections. We notice that Student A4 in Section A and Student B2 in Section B have the same numerical score.

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