AP StatisticsName ______

8/25/05Coley / P. MyersPeriod ______

Quiz #1 (One Variable Data Analysis)Honor Pledge ______

Multiple Choice (Questions 1-20) - Circle the answer of your choice.

1. Ms. Myers’ precalculus class had a standard deviation of 2.4 on a trigonometry test, while Ms. Gentry's precalculus had a standard deviation of 1.2 on the same test. What can be said about these two classes?

(a) Ms. Myers’ class is more homogeneous than Ms. Gentry's class.

(b) Ms. Gentry's class is more homogeneous than Ms. Myers’ class.

(c) Ms. Gentry's class did less well on the test than Ms. Myers’ class.

(d) Ms. Myers’ class performed twice as well on the test as Ms. Gentry’s class.

(e) Ms. Myers’ class performed 1.2 points better on the test as Ms. Gentry’s class.

2. The following is the DataDesk statistical summary of thegold medal performance

in the men's long jump (measured in inches) for the modern Olympic series starting in

  1. Approximately what percent of the data lie between 298 and 334.64?

Olympic Long Jump
Count / Mean / Median / StdDev / Min / Max / Lower 25th Percentile / Upper 25th Precentile
22 / 314.095 / 312.781 / 20.7055 / 281.5 / 350.5 / 298 / 334.64

(a) 25%

(b) 33%

(c) 50%

(d) 67%

(e) 75%

3. Weights of seals are given in the following histogram.

For this data, which values are appropriate estimates of the data’s mean and standard deviation?

(a) 100, 50

(b) 100, 100

(c) 200, 50

(d) 200, 100

(e) 300, 50

4. In a frequency distribution of 3000 scores, the mean is 78 and the median as 95. One would expect this distribution to be:

(a) skewed to the right

(b) skewed to the left

(c) symmetrical and mound-shaped

(d) symmetrical and uniform

(e) bimodal

5. The mean age of 12 of the members attending a mathematics department faculty meeting is 37. Mr. Statistics, who is 50, arrives late. What is the average of all 13 members?

(a) 37

(b) 38

(c) 39

(d) 40

(e) 41

6. A study was conducted on the weights of three different species of fish found in a lake in Finland. These three fish (bream, perch and roach) are commercial fish. Their weights are displayed in the boxplots below. Which of the following statements comparing these boxplots is NOT correct?

(a) The median weights of the three species differ.

(b) The spread of roach is less than the spread of the other two species.

(c) The distributions of weights are approximately symmetric for all three species.

(d) There are no outliers in weight for the three species.

(e) The variability in the weights for the three species exceeds the variation in the three species’ means.

7. Which of the following are true statements?

  1. The standard deviation is the square root of the variance.
  2. The standard deviation is zero only when all values are the same.
  3. The standard deviation is strongly affected by outliers.

(a)I and II

(b)I and III

(c)II and III

(d)I, II, and III

(e)None of the above gives the complete set of true responses.

8. The stemplot displays the 1988 per capita income (in hundreds of dollars)

of the 50 states. Which of the following best describes the data?

(a)Skewed distribution, mean greater than median

(b)Skewed distribution, median greater than mean

(c)Symmetric distribution, mean greater than median

(d)Symmetric distribution, median greater than mean

(e)Symmetric distribution with outliers on high end

9. In order to rate TV shows, phone surveys are sometimes used. Such a survey might record several variables, some of which are listed below. Which of these variables are categorical?

  1. The type of show being watched
  2. The number of persons watching the show
  3. The ages of persons watching the show
  4. The name of the show being watched
  5. The number of times the show has been watched in the last month

(a)II, III, and V

(b)I only

(c)I and V

(d)I and IV

(e)None of the above describes the complete set of correct responses

10.A set of data are put in numerical order, and a statistic is calculated that divides the data set into two equal parts. Which of the following statistics was computed?

(a)Mean

(b)interquartile range

(c)standard deviation

(d)median

11.Does the size of the standard deviation of a data set depend on where the center is?

(a)Yes, the higher the mean, the higher the standard deviation

(b)No, the value of the standard deviation is not affected by the value of the mean standard deviation

(c)No, because the standard deviation is only measuring how the values differ from each other.

(d)Yes, because you have to know the mean to calculate the standard deviation

12. Stephen wants to investigate differences in spending habits of males and females. He compares the amounts spent per week on reading materials by males and females in a random sample of college students by generating the following plot. Which answer below best describes whether you agree or disagree with Stephen and why. Stephen believes that his plots show that males and females tend to spend different amounts of money on reading materials.

(a)Agree, males tend to spend more money than females.

(b)Agree, the median spending money for males is higher than the median for females.

(c)Disagree, the difference in spending is due to the fact that more males than females answered the survey.

(d)Disagree, the difference in medians is not large compared to the variability (IQR) of the data.

(e)Disagree, you can't draw conclusions about differences because there are more males than females in the sample.

13. Sam determined how much students spend per week on reading materials. He constructed separate graphs for those who live on campus and those who live off campus. His plots are shown below. Sam concludes that students who live off campus have different spending habits than those who live on campus.

.

(a)Agree, there is more variability in costs for off-campus students than for on-campus students

(b)Agree, students who live off-campus probably work and have more spending money.

(c)Disagree, the medians are nearly equal.

(d)Disagree, the ranges are the same.

14. Which of the following is most sensitive to outliers?

(a)interquartile range

(b)standard deviation

(c)median

(d)mode

15. A group of 30 introductory statistics students took a 25-item test. The mean and standard deviation were computed; the standard deviation was 0. You know that:

(a)about half of the scores were above the mean

(b)the test was so hard that everyone missed all items

(c)a calculation error must have been made in determining the standard deviation

(d) everyone correctly answered the same number of items

16.A town contains three elementary schools. School A has a mean class size of 30 pupils for its three fifth-grade classrooms. School B has a mean class size of 25 pupils in its two fifth-grade classrooms. School C has 20 pupils in its only fifth-grade classroom. What is the average class size for fifth-grade classrooms in this town?

(a)12.5

(b)25

(c)26.7

(d)28

(e)cannot be determined

17.The following dataset represents the number of hours that seven statistics students studied for this exam: 3, 5, 11, 6, 4, 2, 4. The median number of study hours is:

(a)4

(b)4.5

(c)5

(d)11

(e)cannot be determined

18.From what kinds of variables would a histogram be generated?

(a)categorical only

(b)quantitative only

(c)one categorical and one quantitative

(d)explanatory

(e) varies according to situation

19.A student is gathering data on the driving experiences of other college students. Of the variables to be measured, one is the type of car the student drives (1 = manual transmission/stick shift, 2 = automatic transmission). What type of variable is this?

(a)continuous

(b)categorical

(c)quantitative

(d)response

(e)cannot be determined

20.For each pair of graphs, determine which graph has the higher standard deviation (it is not necessary to do any calculations to answer these questions).

(a)A has a larger standard deviation than B

(b)B has a larger standard deviation than A

(c)Both graphs have the same standard deviation

(d)cannot be determined