Question
1. In a survey collecting data about the salaries earned by recent college graduates, Li found that her salary was in the 82 th percentile.
1. In a survey collecting data about the salaries earned by recent college graduates, Li found that her salary was in the 82th percentile. Should Li be pleased or upset by this result? Explain. (Enter your percents as whole numbers.)Li should ---Select--- be pleased not be pleased because her salary is relatively ---Select--- high low compared to other recent college graduates. ---- % of recent college graduates earn less than Li does while ---- % of recent college graduates earn more than Li does.
2.A university has two criteria used to set admission standards for freshman to be admitted to a college in the university's 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 11% of high school students in the state. In this context, what percentile does the top 11% represent? a. students who are at or below the 89th percentile
b. students who are at or above the 89th percentile
c. students who are at or below the 11th percentile
d. students who are at or above the 11th percentile (b) Students whose GPAs are at or above the 94th percentile of all students at their high school are eligible (called eligible in the local context), even if they are not in the top 11% of all students in the state. What percentage of students from each high school are "eligible in the local context"? a. 6% of students
b. 94% of students
c. 89% of students
d. 11% of students
3. 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 two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars. Use this information to calculate the following value. (Enter an exact number as an integer, fraction, or decimal.)First -----quartile cars.
4. 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. Use this information to calculate the following value. (Enter an exact number as an integer, fraction, or decimal.)Third ------quartile cars.
5. 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 five cars; nineteen generally sell six cars; twelve generally sell seven cars; nine generally sell eight cars; eleven generally sell nine cars. Use this information to calculate the following value. (Enter an exact number as an integer, fraction, or decimal.)10th percentile ------cars.
6. Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.)18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77(a) Find the percentile of 31. ---------th percentile (b) Find the percentile of 71. ---------- th percentile
7. Jesse was ranked 59th in his graduating class of 180 students. At what percentile is Jesse's ranking? (Round your answer to the nearest whole number.) ------- th percentile.
8. (a) For runners in a race, a low time means a faster run. The winners in a race have the shortest running times. Is it more desirable to have a finish time with a high or a low percentile when running a race?For runners in a race it is more desirable to have a ---Select--- low high percentile for a finish time. A ---Select--- low high percentile means a short time which is ---Select--- slower faster . (b) The 20th percentile of run times in a particular race is 5.2 minutes. Write a sentence interpreting the 20th percentile in the context of the situation. (Enter you answers as whole numbers.)The 20th percentile means that----- % of runners finished the race in 5.2 minutes or less and ------ % of runners finished the race in 5.2 minutes or longer. (c) A bicyclist in the 90th percentile of a bicycle race completed the race in 1 hour and 12 minutes. Is he among the fastest or slowest cyclists in the race? Write a sentence interpreting the 90th percentile in the context of the situation.He is among the ---Select--- fastest slowest cyclists because 90% of cyclists were ---Select--- faster slower than him.
9. A sample of 100 clients of an exercise facility was selected. Let X = the number of days per week that a randomly selected client uses the exercise facility.
X | Frequency |
---|---|
0 | 2 |
1 | 13 |
2 | 31 |
3 | 27 |
4 | 11 |
5 | 7 |
6 | 9 |
Find the 80th percentile.
------.
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