stats questions. need calculations also where applicable.

1. In a neighborhood near Rivier, there are 280 families. The average number of members per family is 3.5. How many people live in the neighborhood?

Select one:

a. 980 people

b. 80 people

c. 900 people

d. 105 people

2. Only one of the following pair of lists is correct. Which one is correct?

Select one:

a. Displays for qualitative variables – Histograms, Bar Charts, Pie Charts Displays for quantitative variables – Stemplots, Dotplots, Boxplots

b. Displays for qualitative variables – Bar Charts, Pie Charts Displays for quantitative variables – Stemplots, Dotplots, Boxplots, Histograms

c. Displays for qualitative variables – Bar Charts, Dotplots Displays for quantitative variables – Stemplots, , Boxplots, Histograms, Pie Charts

d. Displays for qualitative variables – Stemplots, Bar Charts, Pie Charts Displays for quantitative variables – Dotplots, Boxplots, Histograms

3. In the United States the mean number of children (under the age of 18) per family is currently 2.2 with a standard deviation of 0.50 children. A family with two children is how many stan Hint: The standard deviation is a positive number.

Select one:

a. 0.5 standard deviations

b. 0.4 standard deviations

c. - 0.4 standard deviations

d. - 0.5 standard deviationsdard deviations from the mean?

4. Which of the following would NOT be a valid way to summarize or visualize a categorical​ variable?

Select one:

a. Bar chart

b. None of the above

c. Relative frequency table

d. Pie chart

5. Here is stem-and-leaf display of the weights (in pounds) for 35 Rivier students. The numbers to the left of the display are cumulated counts from the top and from the bottom.

The value for Q1 is

Select one:

a. 120.0 pounds

b. 120.5 pounds

c. 121.0 pounds

d. 121.5 pounds

6. The side-by-side boxplots show the cumulative college GPAs for sophomores, juniors, and seniors taking an intro stats course in Autumn 2012.

Which class (sophomore, junior, or senior) had the largest IQR?

Select one:

a. sophomore

b. junior

c. senior

7. On one Wednesday morning ninety students recorded how many hours they slept the previous night. Here are some summary data.

Variable N Q1 Median Q3

Sleep 90 7.200 8.000 9.000

8. The least amount of sleep recorded by a student was 4.0 hours; the maximum was 10.5 hours. Is either of these two extreme values outliers?

Select one:

a. Neither is an outlier

b. Both are outliers

c. 4.0 is an outlier but 10.5 is not

d. 10.5 is an outlier but 4.0 is not

9. Three grandmothers are comparing photographs of their grandchildren. One of the grandmothers has four grandchildren, one has six grandchildren, and the last has eight grandchildren. Compute the variance of the number of grandchildren.

Select one:

a. 2

b. 4

c. 6

d. 8

10. A manufacturer of cable wire wants to assess if the diameter of the cable meets specifications. Every hour, analysts take a subgroup of 5 consecutive cable wires from the production line and record the diameter. Here is some summary data for 100 lengths of wire from one day’s production. The units are centimeters.

n 100

Q1 0.532

Q2 0.545

Q3 0.559

In this case, the lower and upper fences are:

Select one:

a. 0.5045, 0.5855

b. 0.5125, 0.5785

c. 0.4915, 0.5995

d. 0.5110, 0.5800

11. The dotplots below are for three samples.

Select one:

a. Table 1

b. Table 2

c. Table 3

d. Table 4

12. The side-by-side boxplots show the cumulative college GPAs for sophomores, juniors, and seniors taking an intro stats course in Autumn 2012.

Which class (sophomore, junior, or senior) had the lowest cumulative college GPA? Select one:

a. Senior

b. junior

c. sophomore

13. A group of 160 individuals are randomly divided into four groups (A, B, C, D) as part of an experiment. The four stem-and-leaf displays below are for the ages (in years) of the four groups.

14. Which group has the smallest difference (in age) between the age of the oldest and the youngest member of the group?

Select one:

a. Group A

b. Group B

c. Group C

d. Group D

15. The side-by-side boxplots show the cumulative college GPAs for sophomores, juniors, and seniors taking an intro stats course in Autumn 2012.

Which class (so Select one:

a. sophomore

b. senior

c. junior

(sophomore, junior, or senior) has the largest median cumulative GPA?

16. In a 2008 survey of 2530 12th-graders who said they drive, each was asked how frequently they wear a seatbelt. The responses are summarized below:

Wears Seatbelt Frequency

----------------------------------------

Never 105

Rarely 248

Sometimes 286

Most times 464

Always 1427

17. The percentage of the respondents that answered ‘Sometimes’ exceeds the percentage that answered ‘Rarely’ by how much?

Select one:

a. 1.5%

b. 11.3%

c. 9.8%

d. 2.67%

18. A student recorded the percentage of the faculty with doctorates for each of the 60 four-year colleges in Massachusetts. The results are summarized in the histogram below.

19. The two smallest bins/intervals in the histogram contain what percentage of the 60 colleges?

Select one:

a. 5%

b. 6%

c. 8%

d. 9%

20. In a recent government health survey 2,000 young children were classified on the basis of their body mass index (BMI). The data are summarized below.

Status Number of Children

Underweight 201

Normal 840

Overweight 642

Obese 317

Total 2000

What percentage of the 2,000 children are overweight or obese?

Select one:

a. 32.1%

b. 84.15%

c. 15.85%

d. 47.95%

21. According to the Registrar at Rivier the average age of full-time undergraduate students is 20.2 years; the standard deviation is 2.2 years. Assuming no deaths to these students, in ten years what will be the standard deviation of the ages of these women?

Select one:

a. Standard deviation = 22.4 years

b. Standard deviation = 12.2 years

c. Standard deviation = 2.2 years

22. Thirty-six patients who are being treated for heart disease filled out a questionnaire aimed at exploring attitudes toward compliance with a special diet. The bar chart below is for their employment status.

How many of the 36 patients are either employed full-time or retired?

Select one:

a. 25 patients

b. 4 patients

c. 27 patients

d. 18 patients

23. A class of fourth-graders takes a state-mandated reading test. The scores are reported as grade levels.The 5-number summary for the eight boys and the 12 girls in the class are given below.

Boys 2.0 3.9 4.3 4.9 6.0

Girls 2.8 3.8 4.5 5.2 5.9

The mean reading level for the boys was 4.2 and for girls was 4.6.

What is the mean and the median grade level for the entire class of 20 students?

Select one:

a. Mean = 4.44 Median cannot be obtained from available data

b. Mean = 4.44 Median = 4.4

c. Mean = 4.4 Median = 4.4

d. Mean = 4.4 Median = 4.42

24. In a 2008 survey of 2530 12th-graders who said they drive, each was asked how frequently they wear a seatbelt. The responses are summarized below:

Wears Seatbelt Frequency

----------------------------------------

Never 105

Rarely 248

Sometimes 286

Most times 464

Always 1427

What percentage of the respondents did not always wear a seatbelt?

Select one:

a. 43.6%

b. 7.36%

c. 56.4%

d. 4.15%

25. The third quartile of the age at marriage for females in the United States last year was 28.5 years. What percentage of women who married in the United States last year were younger than 28.5 years?

Select one:

a. 50%

b. 25%

c. 75%

d. 95%