A meteorologist preparing a talk about global warming compiled a list of weekly low temperatures (in degrees Fahrenheit) he observed at his southern Florida home last year. The coldest temperature for any week was

$$36 ^ { \circ } \mathrm { F }$$

, but he inadvertently recorded the Celsius value of

$$2 ^ { \circ }$$

. Assuming that he correctly listed all the other temperatures, explain how this error will affect these summary statistics: measures of center: mean and median.

A meteorologist preparing a talk about global warming compiled a list of weekly low temperatures (in degrees Fahrenheit) he observed at his southern Florida home last year. The coldest temperature for any week was

$$36 ^ { \circ } \mathrm { F }$$

, but he inadvertently recorded the Celsius value of

$$2 ^ { \circ }$$

. Assuming that he correctly listed all the other temperatures, explain how this error will affect these summary statistics: measures of spread: range, IQR, and standard deviation.

In the Super Bowl, by how many points does the winning team outscore the losers? Here are the winning margins for the first 46 Super Bowl games: 25, 19, 9, 16, 3, 21, 7, 17, 10, 4, 18, 17, 4, 12, 17, 5, 10, 29, 22, 36, 19, 32, 4, 45, 1, 13, 35, 17, 23, 10, 14, 7, 15, 7, 27, 3, 27, 3, 3, 11, 12, 3, 4, 14, 6, 4. Are there any outliers?

A meteorologist preparing a talk about global warming compiled a list of weekly low temperatures (in degree s Fahrenheit) he observed at his southern Florida home last year. The coldest temperature for any week was 36°F, but he inadvertently recorded the Celsius value of 2°. Assuming that he correctly listed all the other temperatures, explain how this error will affect these summary statistics: a) measures of center: mean and median. b) measures of spread: range, IQR, and standard deviation.

During his 20 seasons in the NHL, Wayne Gretzky scored $50\%$ more points than anyone who ever played professional hockey. He accomplished this amazing feat while playing in 280 fewer games than Gordie Howe, the previous record holder. Here are the number of games Gretzky played during each season: $\newline$ 79, 80, 80 , 80, 74, 80, 80, 79, 64, 78, 73, 78, 74, 45, 81, 48, 80, 82, 82, 70$\newline$ Examine the number of games played by hockey great Wayne Gretzky during his 20-year career in the NHL. $\newline$ $\textbf{a)}$ Would you use the median or the mean to describe the centre of this distribution? Why? $\newline$ $\textbf{b)}$ Find the median. $\newline$ $\textbf{c)}$ Without actually finding the mean , would you expect it to be higher or lower than the median ? Explain.

During his 20 seasons in the NHL, Wayne Gretzky scored 50% more points than anyone who ever played professional hockey. He accomplished this amazing feat while playing in 280 fewer games than Gordie Howe, the previous record holder. Here are the number of games Gretzky played during each season: 79, 80, 80, 80, 74, 80, 80, 79, 64, 78, 73, 78, 74, 45, 81, 48, 80, 82, 82, 70 Create a stem-and-leaf display for these data, using split stems.

Dividing a polynomial by x - 1 gives $x^{2}+8 x+1$ with a remainder of 7. What is this polynomial?

A clerk entering salary data into a company spreadsheet accidentally put an extra "0" in the boss's salary, listing it as $2,000,000 instead of$200,000. Explain how this error will affect these summary statistics for the company payroll: measures of spread: range, IQR, and standard deviation.

A clerk entering salary data into a company spreadsheet accidentally put an extra "0" in the boss's salary, listing it as $2,000,000 instead of$200,000. Explain how this error will affect these summary statistics for the company payroll: a) Measures of center: median and mean. b) Measures of spread: range, IQR, and standard deviation.

The standard deviation of these running times is 19.6 minutes, and the quartiles are $Q_1=97$ minutes and $Q_3=119$ minutes.

a) Write a sentence or two describing the spread in running times based on

i) the quartiles.

ii) the standard deviation.

b) Do you have any concerns about using either of these descriptions of spread? Explain.

How many points do football teams score in the Super Bowl? Here are the total numbers of points scored by both teams in each of the first 42 Super Bowl games: 45, 47, 23, 30, 29, 27, 21, 31, 22, 38, 46, 37, 66, 50, 37, 47, 44, 47, 54, 56, 59, 52, 36, 65, 39, 61, 69, 43, 75, 44, 56, 55, 53, 39, 41, 37, 69, 61, 45, 31, 46, 31 a) Find the median. b) Find the quartiles. c) Write a description based on the 5-number summary.

How many points do football teams score in the Super Bowl? Here are the total numbers of points scored by both teams in each of the first 46 Super Bowl games: 45, 47, 23, 30, 29, 27, 21, 31, 22, 38, 46, 37, 66, 50, 37, 47, 44, 47, 54, 56, 59, 52, 36, 65, 39, 61, 69, 43, 75, 44, 56, 55, 53, 39, 41, 37, 69, 61, 45, 31, 46, 31, 50, 48, 56, 38. Are there any outliers?

How many points do football teams score in the Super Bowl? Here are the total numbers of points scored by both teams in each of the first 46 Super Bowl games: 45, 47, 23, 30, 29, 27, 21, 31, 22, 38, 46, 37, 66, 50, 37, 47, 44, 47, 54, 56, 59, 52, 36, 65, 39, 61, 69, 43, 75, 44, 56, 55, 53, 39, 41, 37, 69, 61, 45, 31, 46, 31, 50, 48, 56, 38. Construct a boxplot of the data.

How many points do football teams score in the Super Bowl? Here are the total numbers of points scored by both teams in each of the first 46 Super Bowl games: 45, 47, 23, 30, 29, 27, 21, 31, 22, 38, 46, 37, 66, 50, 37, 47, 44, 47, 54, 56, 59, 52, 36, 65, 39, 61, 69, 43, 75, 44, 56, 55, 53, 39, 41, 37, 69, 61, 45, 31, 46, 31, 50, 48, 56, 38. Find the quartiles.