Comparison and Inference Between Data

The heights of two rowing teams, in inches, are shown in the table.

Which team has the larger average height, and what is that average?

• Junior Varsity; 70

• Junior Varsity; 71

• Varsity; 70

• Varsity; 71

Tags

CCSS.4.NF.B.3C

CCSS.4.NF.B.3D

The prices of homes in 2 different neighborhoods are listed in the table.

Which measure is best to base a comparison of the typical home price in the 2 neighborhoods?

• mean

• median

• mode

• interquartile range

The table shows the bowling scores of two bowlers in a five-game set. In bowling, the highest score of each game wins.

Which statement is true?

• Bowler 1’s median score is 13 points higher than Bowler 2’s median score, and Bowler 1 is generally a better bowler than Bowler 2.

• Bowler 1’s median score is 13 points lower than Bowler 2’s median score, and Bowler 1 is generally a worse bowler than Bowler 2.

• Bowler 1’s median score is 35 points higher than Bowler 2’s median score, and Bowler 1 is generally a better bowler than Bowler 2.

• Bowler 1’s median score is 35 points lower than Bowler 2’s median score, and Bowler 1 is generally a worse bowler than Bowler 2.

Lizzie is comparing the heights of the high school basketball team to the middle school basketball team in her hometown. The high school team's heights have a Mean Absolute Deviation of 1.2, and the middle school team's heights have a Mean Absolute Deviation of 2.7. What conclusion can Lizzie draw about the two teams?

• The heights of the players on the high school team vary more than the heights of the players on the middle school team.

• The heights of the players on the high school team vary less than the heights of the players on the middle school team.

• The two teams appear to have players that are the same height.

• There is not enough information given to compare the heights of players on each team.

Patrick plays football for his middle school. The table below shows Patrick's rushing yards for the first five games of the season. Which measure of central tendency would best represent Patrick's rushing yards during the first five games of the season?

• The mean. Because it is 25 yards higher than the median.

• The mean. Because it shows how many yards Patrick averages each game.

• The median. Because it is 25 yards higher than the mean.

• The median. Because the mean is influenced by an outlier number.

How many runs must the North Middle School softball team score in the fifth game so that the mean and median of the data will be the same?

• 9 runs

• 10 runs

• 11 runs

• 12 runs

The table shows the number of pepperoni and sausage pizzas sold by a local restaurant over a 5 day week. Part A: Calculate the median number of pepperoni pizzas sold and show your work. Part B: Calculate the median number of sausage pizzas sold and show your work. Part C: What is the difference between the median number of pepperoni pizzas sold and the median number of sausage pizzas sold?

• 1

• 2

• 3

• 4

Which of the following is FALSE about the bar chart?

• The bar chart can see the comparison of the scores between the Mathematics quiz and Science quiz.

• Ai Fen obtained the lowest mark in the Science quiz.

• All of the students can achieve at least 30 marks in both of the quizzes.

• The bar chart shows that all of the students did better in Science than Mathematics.

What is the inference that can be made from the bar chart?

• The profits of the company is increases every year.

• The company made a profit of RM40 in year 2015.

• The company shows the greatest increment in the profit from 2012 to 2013.

• The company's profit is consistent over the six years.

Marvin's grades currently in math are 100, 97, 98, 74, and 85. Gavin's grades currently in math are 98, 100, 88, 91, and 65. Which student has the highest mean score?

• Marvin

• Gavin