Questions

1) The sum of all of the data divided by the number of pieces of data (average) is the__________ of the data.

a.) mean

b.) median

c.) mode

d.) range

2) The difference between the highest and the lowest piece of data is the __________ of the data.

a.) mean

b.) median

c.) mode

d.) range

3) The number in the set of data that occurs most often is the __________ of the data.

a.) mean

b.) median

c.) mode

d.) range

4) When the data is arranged in order, the middle number is the __________ of the data. When there are two middle numbers, then the __________ of the two middle numbers must be calculated to determine the measure of central tendency.

a.) mean, median

b.) median, mean

c.) mode, range

d.) range, median

5) Refer to the data set shown below to calculate the following: (a) What is the mean? (b) What is the median? (c) What is the mode?

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6) Mike's bowling scores over a ten-week period are listed in the chart below. (a) What is the mean score? (b) What is the median score? (c) What is the mode of all of Mike’s scores?

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7) Quartiles divide a data set into how many parts?

a.) 2

b.) 3

c.) 4

d.) 8

8) The second quartile is the __________ of the data set.

a.) mean

b.) median

c.) mode

d.) range

9) The lower quartile (First Quartile) is the...

a.) median of the upper half of the data set.

b.) median of the lower half of the data set.

c.) mean of the upper half of the data set.

d.) mean of the lower half of the data set.

10) The upper quartile (Third Quartile) is the...

a.) median of the upper half of the data set.

b.) median of the lower half of the data set.

c.) mean of the upper half of the data set.

d.) mean of the lower half of the data set.

11) What is the term given to the RANGE of the middle half of the data; that is, the difference between the Upper Quartile and the Lower Quartile (UQ – LQ)?

a.) Median

b.) First Quartile

c.) Second Quartile

d.) Third Quartile

e.) Interquartile Range

12) What is the second quartile?

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13) What are the (a) lower quartile and (b) the upper quartile?

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14) What is the interquartile range?

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15) Listed below are Anthony's scores for the first nine quizzes in his geometry class. Arrange the data in order from least to greatest, and then answer the following questions: (a) What is the first quartile? (b) What is the second quartile? (c) What is the third quartile? (d) What is the interquartile range?

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16) Fill in the blanks to complete the following description of a method to identify the “outliers” of a data set: To identify the outliers of a data set, multiply the interquartile range by __________. Then, add that number to the __________ _________ and subtract that number from the __________ _________. Finally, check to see if any of the data falls above or below the calculated numbers.

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17) In a data set, the smallest data point is called the __________ __________ and the largest data point is called the __________ __________.

a.) lower quartile, upper quartile

b.) upper quartile, lower quartile

c.) lower extreme, upper extreme

d.) upper extreme, lower extreme

18) What is the median?

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19) Answer the following questions about the quartiles: (a) What is the lower quartile? (b) What is the upper quartile?

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20) Answer the following questions about the extremes: (a) What is the lower extreme? (b) What is the upper extreme?

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21) Draw a box-and-whiskers graph plotting the points for the median, LQ, UQ, lower extreme, and upper extreme. Then, use your graph and the one below to answer the following questions. Use the letters that are labeled above the points to answer the questions: What point is located at (a) the median, (b) the upper quartile, (c) the lower quartile, (d) the upper extreme, and (e) the lower extreme?

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22) What is the interquartile range?

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23) What are the limits for the outliers?

a.) 2.74 to 5.02

b.) 1.6 to 6.16

c.) 1.6 to 2.74

d.) 2.74 to 6.16

24) What are the outliers?

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25) In Data Set A the outliers have been removed and the upper quartile and lower quartile have been recalculated. The outliers are graphed separately from the rest of the data. Data Set B is provided to compare the two different graphs of the same data. Why do you think outliers are identified and graphed separately when analyzing and graphing data?

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26) What type of correlation does the scatter plot display?

a.) negative

b.) positive

c.) no correlation

27) What type of correlation does the scatter plot display?

a.) negative

b.) positive

c.) no correlation

28) What does the red line represent in the given scatter plot?

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29) When the line of “best fit” for a scatter plot passes through EVERY point, the graph is __________?

a.) linear

b.) nonlinear

c.) parabolic

d.) circular

30) As the number of weeks increased, Michelle’s time __________.

a.) increased

b.) decreased

c.) remained the same

31) What type of relationship does the scatter plot show?

a.) positive

b.) negative

c.) no relationship

32) Which group had the highest unemployment rate over the seven-year period?

a.) college graduates

b.) persons with some college or an associate’s degree

c.) high school graduates

33) What kind of correlation is displayed for each of the data sets in the graph when comparing the unemployment rate over the seven-year period?

a.) Positive correlation, the unemployment rate decreased over the seven-year period.

b.) Negative correlation, the unemployment rate increased over the seven-year period.

c.) Positive correlation, the unemployment rate increased over the seven-year period.

d.) Negative correlation, the unemployment rate decreased over the seven-year period.

34) How is the data in the histogram distributed?

a.) definitely skewed right

b.) definitely skewed left

c.) close to symmetrical

35) How many students took the test?

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36) If a test score above 59 is considered passing, what percent of the students passed? Round to the nearest whole percent. [Hint: Percent = (Number of Students Passing / Total Number of Students) x 100%]

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37) True or False. The teacher could deduce that most of the students understood the concepts presented on the test.

True

False

38) What age group has the most college graduates?

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39) What age group has the least college graduates?

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40) Why do you think the data is skewed to the right?

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41) Fill in the blanks about the following types of biased samples: A sample that includes members of a population that are easily accessed is a __________ sample. A sample that involves only the people who want to participate is a __________ __________sample.

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42) Fill in the blanks about the following types of unbiased samples: A sample that divides the population into similar, non-overlapping groups is a __________ __________ sample. A sample in which people are selected according to an interval of time or items is a __________ __________ sample. A sample in which the people selected to participate are equally likely to be chosen is a __________ __________ sample.

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43) Which type of sample is biased?

a.) simple random

b.) stratified random

c.) systematic random

d.) voluntary response

44) Which type of sample is unbiased?

a.) simple random

b.) convenience

c.) voluntary response

d.) all of the above

45) A veterinarian conducts a survey to find out how many pet owners use his services. The survey is conducted at a local pet store near his office.

a.) convenience sample

b.) voluntary response sample

c.) simple random sample

d.) stratified random sample

e.) systematic random sample

46) A high school student asks every third person who leaves the band concert if they enjoyed the concert.

a.) convenience sample

b.) voluntary response sample

c.) simple random sample

d.) stratified random sample

e.) systematic random sample

47) Five students in twenty different classes at a high school are randomly chosen to evaluate the food in the cafeteria by completing a survey.

a.) convenience sample

b.) voluntary response sample

c.) simple random sample

d.) stratified random sample

e.) systematic random sample

48) A group of students are surveyed to determine their favorite kind of music. Each student in the school has an ID number and the school’s computer randomly chooses the students who will be surveyed.

a.) convenience sample

b.) voluntary response sample

c.) simple random sample

d.) stratified random sample

e.) systematic random sample

49) A newspaper asks the readers to call and vote for their favorite family restaurant.

a.) convenience sample

b.) voluntary response sample

c.) simple random sample

d.) stratified random sample

e.) systematic random sample

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