Math Data Analysis

The Student Government at Arlington High School decided to conduct a survey to determine where to go on a senior field trip. They asked students the following question: “Would you rather go to a sports event or to an IMAX movie?” At which of the following locations would they most likely get a fair sample?

• The gym after a game

• The auditorium after a party

• A randomly chosen study hall

• At the nature club meeting

Which of the following best measures the average distance that a data value lies away from the mean?

• mean

• standard deviation

• median

• range

Which measure of central tendency is most affected by outliers?

• mean

• median

• mode

Which of the following data sets would have the largest standard deviation?

• {3, 3, 4, 5, 5}

• {72, 73, 74, 75, 76}

• {2, 8,18, 26, 35}

• {8,10,12,14,16}

A storeowner kept a tally of the sizes of suits purchased in her store. Which measure of central tendency should the storeowner use to describe the average suit sold?

• mean

• median

• mode

A tally was made of the number of times each color of crayon was used by a kindergarten class. Which measure of central tendency should the teacher use to determine which color is the favorite color of her class?

• mean

• median

• mode

You are writing an article for the school newspaper about support for the mayor’s proposal for bike paths. Determine whether the data collection method will result in an unbiased (fair) sample of town residents.

You survey every 10th person leaving a bicycle repair store.

• biased, of course these people will want bike paths

• unbiased, talking to people of interest doesn't make it unfair

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82 Calculate the mean

• 74.6

• 1044

• 6.5

• 74.1

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82

Calculate the median

• 74.5

• 6.5

• 74.6

• 74, 76

Thomas is trying to determine the average height of high school male students. Because he is on the basketball team, he uses the heights of the 14 players on the team, which are given below in inches.

69, 70, 72, 72, 74, 74, 74, 75, 76, 76, 76, 77, 77, 82

Calculate the mode

• 74, 76

• 74.5

• 74.6

• 6.5