# Stats quiz paper | Numerical analysis homework help

Quiz 1

Refer to the following time plotthat 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 numberpairs ofbald eagles is lowest according to the above plot?

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

2000.

Refer to the following displayfor 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

Thestemplotdisplaysthenumberofhoursthata sampleof

15studentsspentstudyingforacalculusfinalexam

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 thiserror change the answer for mean in the question

#?

12.        It is discovered that 24 hours was a typographical error for 42 hours. How will thiserror 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.

Forthequestions17‐19usethefollowingsampledataforthetimethatittookmembersofasearch committeetogothrough6applications,thetimeis inminutes.

12,18,23,27,28,30

17.Findthemean   xofthisdata.

18.Fillthefollowingtable

 x x–x (x – x)2 12 18 23 27 28 30

19.Findthestandarddeviationsofthisdata.

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. Writethe 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

questions22-25

 Male Female STEM 78 42 HUMANITIES 65 70 BUSINESS 59 21

A faculty member is selectedat 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.

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