zMath 180  - Unit 32: Collect and Compare Data
1) Describe how and where to conduct a survey of hospital employees.

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2) Describe how and where to conduct a survey to determine the favored presidential candidate in a town.

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3) What are (a) a convenience sample, (b) a random sample, and (c) a representative sample?

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4) How can the size of a sample affect the conclusions based on the sample?

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For the next five problems, consider the given data set.

5) What is the MEAN of the data? Round the answer to the nearest tenth.

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6) In the data set in the previous problem, remove the data point 16, and replace it with 36. What is the MEAN of the new data set? Round the answer to the nearest tenth

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7) Explain how the new data point in the previous problem affected the mean in comparison to the mean of the data set in problem #5?

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8) What is the MEDIAN of the set of data?

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9) Again replace 16 with 36 and again find the median of the new data set. Explain how the change in data points affected the median.

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Consider the two sets of data, and then answer the next three questions.

10) Calculate the mean of both data sets. (a) What is the mean of Set A? (b) What is the mean of Set B?

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11) For each set in the previous problem, calculate the median and the range? (a) What are the medians of Set A and Set B? (b) What is the range of Set A and Set B?

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12) Explain how the ranges calculated in the previous problem show a difference in the data of the two sets.

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Consider the two sets of data, and then answer the next four questions.

13) For Set C, (a) what is the lower quartile (LQ), (b) what is the middle quartile (Median), and (c) what is the upper quartile (UQ)?

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14) What is the Interquartile Range for Set C?

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15) For Set D, (a) what is the lower quartile (LQ), (b) what is the middle quartile (Median), and (c) what is the upper quartile (UQ)?

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16) What is the Interquartile Range for Set D?

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In Ohio (in the United States of America), the total precipitation (in inches) for each month in the years 2003 and 2004 is listed in the table. Refer to the graph to answer the next ten questions. (Note: There is a link to a copy of the graph in the content section that displays in a pop-up window. This link will make the graph visible at all times while working through the problems. Some adjustments may need to be made to resize the browser window of the questions so that both the questions and the pop-up window are displayed on the screen at the same time.)

17) For the precipitation listed in 2003, (a) what is the lower quartile (LQ), (b) what is the middle quartile (Median), and (c) what is the upper quartile (UQ)? Express the answers in hundredths. Be sure to list the data in order from least to greatest before making any calculations.

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18) The median precipitation for Ohio in 2003 is closest to which two months’ precipitation in 2003?

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19) What is the mean precipitation in 2003? Express the answer in hundredths.

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20) The mean precipitation for Ohio in 2003 is closest to which month’s precipitation in 2003?

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21) What is the interquartile range for the 2003 data?

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22) For the precipitation listed in 2004, (a) what is the lower quartile (LQ), (b) what is the middle quartile (Median), and (c) what is the upper quartile (UQ)? Express the answers in hundredths. Be sure to list the data in order from least to greatest before making any calculations.

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23) The median precipitation for Ohio in 2004 is closest to which two months’ precipitation in 2004?

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24) What is the mean precipitation in 2004? Express the answer in hundredths.

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25) The mean precipitation for Ohio in 2004 is closest to which month’s precipitation in 2004?

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26) What is the interquartile range for the 2004 data?

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27) Examine the scatter plot closely from the month of June through the month of December. What kind of relationship is shown between the amount of precipitation and the passing of summer and fall in Ohio during 2003 and 2004?

28) Based on the precipitation in 2003 and 2004 shown in the graph in the previous problem, which season could be considered Ohio’s “dry” season?

A bar graph of the monthly average precipitation in Ohio from 1931 through 1980 is shown below. Refer to the graph to answer the next eight questions. (Note: There is a link to a copy of the graph in the content section that displays in a pop-up window. This link will make the graph visible at all times while working through the problems. Some adjustments may need to be made to resize the browser window of the questions so that both the questions and the pop-up window are displayed on the screen at the same time.)

29) The median precipitation for Ohio in 2003 (see problem #17) is closest to which month’s precipitation over the years 1931 through 1980?

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30) The mean precipitation for Ohio in 2003 (see problem #19) is closest to which month’s precipitation over the years 1931 through 1980?

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31) The median precipitation for Ohio in 2004 (see problem #22) is closest to which month’s precipitation over the years 1931 through 1980?

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32) The mean precipitation for Ohio in 2004 (see problem #24) is closest to which month’s precipitation over the years 1931 through 1980?

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33) Examine the bar graph closely from the month of June through the month of December. What kind of relationship is shown between the precipitation and the passing of summer and fall in Ohio over the years 1931 through 1980?

34) How many months in the years 2003 and 2004 had more precipitation than the highest monthly average of precipitation during the years 1931 through 1980?

35) How many months in the years 2003 and 2004 had less precipitation than the lowest monthly average of precipitation during the years 1931 through 1980?

36) How does the amount of precipitation in Ohio over the years 2003 and 2004 compare with the amount of precipitation over the years 1932 through 1980?

Review

For the next four problems, simplify the expressions. Write the expressions as they would be read.

37) Simplify and write the simplified expression.

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38) Simplify and write the simplified expression.

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39) Simplify and write the simplified expression.

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40) Simplify and write the simplified expression.

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41) What is the missing ordered pair of a rectangle with the three given vertices in the coordinate plane?

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42) What is the missing ordered pair of a rectangle with the three given vertices in the coordinate plane?

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43) Is the equation linear or non-linear?

44) Graph the three linear equations, and then describe the change in the graphs as the coefficient of “x” increases.

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45) Graph the quadratic equation. What are the roots of the quadratic equation?

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46) For line segment EF with endpoints E (–3, –5) and F (0, 0) in the coordinate plane, what is the distance between the two points? Round the answer to the nearest tenth.

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47) What is the slope of segment EF in the previous problem?

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48) Solve the system of equations using substitution.

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49) What is the standard form for the number expressed in scientific notation?

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50) What is the standard form for the number expressed in scientific notation?

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