Question

1. moshi collected data about the cost of cars at a local car dealership. he found the five - number summary of the car prices to be: $8,900 ~ $14,500 ~ $18,000 ~ $21,000 ~ $34,000

a. how much was the least expensive car moshi found at the dealership?
b. what was the median car price at the dealership?
c. moshi found that 25% of the cars cost at least ______.
d. what percent of the cars cost between $14,500 and $21,000?

Explanation:

Part a

Step1: Recall five - number summary

The five - number summary is given in the order: minimum, first quartile (Q1), median (Q2), third quartile (Q3), maximum. So the first value in the five - number summary $\$8,900\sim\$14,500\sim\$18,000\sim\$21,000\sim\$34,000$ is the minimum value.

Step1: Recall median in five - number summary

In a five - number summary, the third value (when ordered as min, Q1, median, Q3, max) is the median. Given the five - number summary $\$8,900\sim\$14,500\sim\$18,000\sim\$21,000\sim\$34,000$, the third value is $\$18,000$.

Step1: Recall quartiles

The third quartile (Q3) represents the value where 75% of the data is less than or equal to it, and 25% of the data is greater than or equal to it. In the five - number summary $\$8,900\sim\$14,500\sim\$18,000\sim\$21,000\sim\$34,000$, the fourth value is the third quartile (Q3). So 25% of the cars cost at least the third quartile value.

Answer:

$\$8,900$

Part b