Question

question 3 (5 points)
the box - plot represents the distribution of speeds, in miles per hour, of 100 cars as they passed through a busy intersection.
4 8 12 16 20 24 28 32 36 40 44 48
speed of cars (miles per hour)

1. what is the smallest value in the data set? interpret this value in the situation.

____ miles per hour. the car that went through the intersection the __ (slowest, fastest) was going ____ miles per hour.

1. what is the largest value in the data set? interpret this value in the situation.

____ miles per hour. the car that went through the intersection the __ (slowest, fastest) was going ____ miles per hour.

1. what is the median? interpret this value in the situation.

____ miles per hour. __ (quarter, half) of the cars went through the intersection at __ miles per hour or faster and __ (quarter, half) of them went through the intersection at ____ mph or slower.

1. what is the first quartile (q1)? interpret this value in the situation.

____ miles per hour. about __ (one - half, one - fourth) of the cars going through the intersection were going __ miles per hour or ____ (faster, slower).

1. what is the third quartile (q3)? interpret this value in the situation.

____ miles per hour. about __ (one - half, one - fourth) of the cars going through the intersection were going __ (less than, at least) ____ miles per hour.

Explanation:

Step1: Identify smallest value from box - plot

The left - most point on the box - plot whisker represents the smallest value. It is 8 miles per hour. This is the speed of the slowest car.

Step2: Identify largest value from box - plot

The right - most point on the box - plot whisker represents the largest value. It is 48 miles per hour. This is the speed of the fastest car.

Step3: Identify median from box - plot

The line inside the box represents the median. It is 20 miles per hour. Half of the cars went through the intersection at 20 miles per hour or faster and half of them went through at 20 mph or slower.

Step4: Identify first quartile from box - plot

The left - hand side of the box represents the first quartile (Q1). It is 12 miles per hour. About one - fourth of the cars going through the intersection were going 12 miles per hour or slower.

Step5: Identify third quartile from box - plot

The right - hand side of the box represents the third quartile (Q3). It is 28 miles per hour. About one - fourth of the cars going through the intersection were going at least 28 miles per hour.

Answer:

1. 8, slowest, 8
2. 48, fastest, 48
3. 20, Half, 20, half, 20
4. 12, one - fourth, 12, slower
5. 28, one - fourth, at least, 28