91Ó°ÊÓ

The data are the prices of different laptops at an electronics store. Round each value to the nearest ten. $249,249,260,265,265,280,299,299,309,319,325,326,350,350,350,365,369,389,409,459,489,559,569,570,610$

In a survey collecting data about the salaries earned by recent college graduates, Li found that her salary was in the ${78}^{th}$percentile. Should Li be pleased or upset by this result? Explain

In a study collecting data about the repair costs of damage to automobiles in a certain type of crash test, a certain model of car had $\$1700$in damage and was in the ${90}^{th}$ percentile. Should the manufacturer and the consumer be pleased or upset by this result? Explain and write a sentence that interprets the ${90}^{th}$ percentile in the context of this problem.

The University of California has two criteria used to set admission standards for freshmen to be admitted to a college in the UC system:

a. Students' GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an "admissions index" score. The admissions index score is used to set eligibility standards intended to meet the goal of admitting the top $12\%$of high school students in the state. In this context, what percentile does the top $12\%$represent?

b. Students whoseGPAs are at or above the 96th percentile of all students at their high school are eligible (called eligible in the local context), even if they are not in the top $12\%$of all students in the state. What percentage of students from each high school are "eligible in the local context"?

Suppose that you are buying a house. You and your realtor have determined that the most expensive house you can afford is the ${34}^{th}$percentile. The ${34}^{th}$percentile of housing prices is $\$240,000$in the town you want to move to. In this town, can you afford $34\%$of the houses or $66\%$of the houses?

Use the following information to answer the next six exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

First quartile = _______

Use the following information to answer the next six exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

Interquartile range (IQR) = _____ – _____ = _____

Use the following information to answer the next six exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

${70}^{th}$percentile = _______

The data are daily high temperatures in a town for one month. $61,61,62,64,66,67,67,67,68,69,70,70,70,71,71,72,74,74,74,75,75,75,76,76,77,78,78,79,79,95$

Use the following information to answer the next two exercises. Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

Construct a box plot below. Use a ruler to measure and scale accurately