Stats Quiz Paper

Quiz 1

Refer to the following time plot that shows the number of breeding bald eagle pairs in the lower United States and answer the questions

1-2.

1. For which year is the number pairs of bald eagles is lowest according to the above plot?

2. Write the approximate number of pairs of bald eagles in the year

2000.

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Refer to the following display for the questions 3-4

3. The total revenue received according to the above display is approximately

4. The percentage of revenue contributed by the state is approximately

5. Approximately what percentage of the expenses is in the area of operations and maintenance?

Refer to the following stem plot for the questions 6-10

The stem plot displays the number of hours that a sample of

15 students spent studying for a calculus final exam

0* 9

1*

1* 2333

1* 45

1* 6

1* 8899

2 * 0

2 * 2

2* 4

6. What is the mean of this data?

7. What is the median of this data?

8. What is the first quartile of this data?

9. What is the third quartile of this data?

10. What is the inter quartile range of this data?

11. It is discovered that 24 hours was a typographical error for 42 hours. How will this error change the answer for mean in the question

#?

12. It is discovered that 24 hours was a typographical error for 42 hours. How will this error change the answer for median in the question #7?

Use the following histogram for answering questions 13-16

The histogram refers to the family incomes of 100 families in a certain county

13. Fill in the following table based on the information from the above histogram.

Class (1000s of $$)	MIDPOINT	Frequency
0  income  50
50  income  100
100  income  150
150  income  200
200  income  250
250  income  300
300  income  350
350  income  400
400  income  450
450  income  500
500  income  550
550  income  600

14. Write the % families with income less than $50000

15. Write an approximate value of the mean for the data represented by this histogram.

16. Write the class that contains the median value for this data.

For the questions 17‐19 use the following sample data for the time that it took members of a search committee to go through 6 applications, the time is in minutes.

12, 18, 23, 27, 28, 30

17. Find the mean x of this data.

18. Fill the following table

x	x  x	x  x2
12
18
23
27
28
30

19. Find the standard deviation s of this data.

20. A bag of candies contains 20 candies, 8 of which are red, 6 blue,

3 yellow, and 3 green. A candy is randomly drawn. Write the probability that this candy will be red.

21. Refer to the following table that shows the gender of faculty members and their discipline areas in a certain college and answer the

questions 22-25

	Male	Female
STEM	78	42
HUMANITIES	65	70
BUSINESS	59	21

A faculty member is selected at random.

22. Find the probability that the randomly chosen faculty member is a male.

23. Find the probability that the randomly chosen faculty member is a male given that the choice is from Humanities.

24. Find the probability that the randomly chosen faculty member is a male and teaches business.

25. Find the probability that the faculty member teaches business.

26. Two fair dice (one yellow and the green) are rolled. Find the probability that the green die will have six dots facing up given that the yellow die has six dots facing up.

27. Are the event six dots facing up on the yellow die and the event six dots facing up on the green die independent?

Use the following box plot for the questions 28-30. The box plot refers to

a sample of average monthly temperatures in degrees Fahrenheit for the cities of San Diego and Minneapolis.

28. Which city has a greater variability in average monthly temperatures?

29. Which city has the greater percentage of months with temperatures over 55 degrees F?

30. Write the medians of the two box plots.