p

The upper quartile of a set of data is a number that __________.

separates the lower three-quarters of the data set from the upper quarter

upper quartile of a set of data is a number that __________

separates the lower three-quarters of the data set from the upper quarter

The interquartile range of a set of data is __________.

the difference of the upper and lower quartiles of the data set

The "whisker" parts of a box-and-whisker plot represent _________

the lower quarter and upper quarter of the data set

Find the interquartile range for the given set of data. {23.5, 22.1, 24.0, 28.6, 26.3, 29.2, 21.0, 22.7, 25.5, 22.3, 21.6}

A. 4.2

Cindy is preparing for a 25-mile charity run hosted by her school's Athletic Club on their home track. In preparation for the run, Cindy has been running in 25-lap sets, recording her lap times as she goes. Cindy feels that she is very well prepared for the run. Looking at her scores, she can see that at least 75% of them are 90 seconds or better, with some as good as 82 seconds. But, she also knows that she has a couple of poor times, one as low as 102 seconds, that will make her total time a bit worse. To further analyze her lap times, Cindy would like to organize them in a box-and-whisker plot. Which of the following plots is most like what Cindy should expect to see, based on what she already knows?

B

Which of the following box-and-whisker plots represents the data set given below? {98.6, 99.4, 97.2, 101.3, 100.1, 98.2, 99.2, 98.9, 98.0, 103.5, 99.0}

D

lower quartile of a set of data is calculated by __________.

finding the median of the lower half of the data set

Variation is a term that is used to describe __________.

how spread out or scattered a data set is

The interquartile range is equal to what?

. Q3 - Q1

Salisbury Middle School participated in a charity walk-a-thon. The data below shows the amount of money raised by the eighth grade classes. In a box-and-whisker plot for the data, which number would represent the third quartile? {$140, $174, $148, $171, $150, $167, $152, $166}

169

Ricardo has just taken over his parents' restaurant. He knows after working there for many years that one of the major concerns among employees is competitive pay. Specifically, Ricardo's servers think that they are paid less than servers in similar restaurants. To help investigate this issue, Ricardo employs a company that specializes in gathering data about pay rates for similar positions across the state. The company provides Ricardo with the following box-and-whisker plot. 2003-13-05-00-00_files/i0250000.jpg Ricardo's goal is to provide his servers with competitive pay compared to other restaurants in the state. He currently pays his servers hourly rates ranging from $8.50 to $11.50, depending on experience and seniority. His median server pay is $8.83. Based on what he sees in the plot above, which of the following is an appropriate conclusion for Ricardo? A. Ricardo's median is consistent with the state median. Ricardo should leave his servers' pay as it is. B. Most of Ricardo's servers are paid more than the state median. Ricardo should leave his servers' pay as it is. C. Ricardo's minimum, maximum, and median are all significantly less that those of the state. Ricardo should increase his servers' pay. D. Almost half of other servers across the state make more than the highest paid of Ricardo's servers. Ricardo should increase his servers' pay.

Ricardo's median is consistent with the state median. Ricardo should leave his servers' pay as it iS

Which of the following statements describes the difference between the range and the interquartile range?

The range is a number that quantifies the spread of an entire data set, while the interquartile range quantifies the spread of the middle half of the data.

When a data set has an even number of elements, the median is calculated by __________.

averaging the middle two values

whisker" parts of a box-and-whisker plot represent __________.

lower quarter and upper quarter of the data set

box" part of a box-and-whisker plot represents __________.

middle half of the data set

Use the box-and-whisker plot below to identify the minimum, maximum, and range of the data set the plot represents. 2003-13-05-00-00_files/i0170000.jpg

minimum = 4.5, maximum = 5.7, range = 1.2