College Math Prep B - Lesson 23: Measures of Location

What is the first quartile of the data set? 41, 14, 28, 34, 93, 45, 10, 16, 19, 54, 67

16

What is the third quartile of the data set? 41, 14, 28, 34, 93, 45, 10, 16, 19, 54, 67

54

Mr. Arandas will take some high school students from his honors history class to a local university this summer to participate in a national mock trial competition. He has room only for the students who score in the top 25% on the final exam. Which students will be invited?

Sachi and Iara

Match each key term with the correct definition.

first quartile: the median of the lower half of a set of ordered data second quartile: the median or middle value of the data set third quartile: the median of the upper half of a set of ordered data

A controlled chemical reaction occurs at the times listed in milliseconds. At what time have 30% of the chemical reactions already occurred? 214, 239, 232, 245, 216, 338, 286, 337, 211

216

What is the median of the data set? 41, 14, 28, 34, 93, 45, 10, 16, 19, 54, 67

34

A small concert venue needs to replace its speaker system. The max decibel levels of several speaker systems available are listed. 116, 119, 122, 107, 105, 115, 115, 108, 106, 116, 102, 121 The venue has decided to purchase the speaker system with a max decibel level of 108. At what percentile is this system, rounded to the nearest whole number?

42nd percentile

LaToya is auditioning ensemble cast members for her new production. She needs the dancers to jump as high as possible in the show. So far, the dancers who have already auditioned can jump this high, in feet: LaToya wants only the dancers who can jump above the 60th percentile of all those who audition. One last dancer arrives. Whose height must the last dancer beat to join the production?

Dancer 3