Distributions Data Sets

The measure of how far the numbers in a data set are away from the mean or the median

• Variablility

• Spread

• Skew

• Distribution

What is the median?

• the middle number of the set of data

• when you add the data together and divide by the number of values - find the average

• the value that occurs the most often

• the largest number minus the smallest number

• quartile 3 minus quartile 1

A division of the total into four intervals, each one representing one-fourth of the total

• Variablility

• Spread

• Quartile

• Distribution

Mrs. Andrews surveyed the students in her math classes to fnd out how many minutes each one studied for the last test. She created a dot plot for 1st period and for 2nd period.

Select ALL the true statements about the data used to build the dot plots.

• The data for Mrs. Andrews’ 2nd period is more symmetrical than the data for Mrs. Andrews’ 1st period.

• The mode number of minutes students studied in Mrs. Andrews’ 1st period is greater than the mode number of minutes students studied in Mrs. Andrews’ 2nd period.

• The range of the data for Mrs. Andrews’ 1st period is less than the range of the data for Mrs. Andrews’ 2nd period.

• Both class periods have the same number of students.

Which of these three statements appear to be true?

• I only

• I and II

• II and III

• III only

Pineapples were packed in three large crates. For each crate, the weight of every pineapple in the crate was recorded. Here are three box plots that summarize the weights in each crate. Select all of the statements that are true, according to the box plots.

• The weights of the pineapples in Crate 1 were the most variable.

• The heaviest pineapple was in Crate 1.

• The lightest pineapple was in Crate 1.

• Crate 3 had the greatest median weight and the greatest IQR.

• More than half the pineapples in Crate 1 and Crate 3 were heavier than the heaviest pineapple in Crate 2.

Here is a box plot that summarizes data for the time, in minutes, that a fire department took to respond to 100 emergency calls. Select all the statements that are true, according to the box plot.

• Most of the response times were under 13 minutes.

• Fewer than 30 of the response times were over 13 minutes.

• More than half of the response times were 11 minutes or greater.

• There were more response times that were greater than 13 minutes than those that were less than 9 minutes.

• About 75% of the response times were 13 minutes or less.

What is the greatest number of books read by a student in this group?

• 2

• 6

• 12

• 15

• 16

What is the median number of books read by the students?

• 5

• 6

• 10

• 15

What is the IQR ?

(interquartile range)

• 4

• 5

• 6

• 13