for questions 7 - 11, refer to the box & whisker graphs below that compare homework time per night with tv time per night for a group of sophomores in the month of september.
7. what is the median for homework time and tv time?
8. what percent of the sophomores watch tv for at least 15 minutes per night?
9. what is the 3rd quartile for the tv time data?
10. what is the iqr of homework time?
11. are you able to find the mean of either box plot? if so, what is the mean of tv time?
12. a teacher is reviewing the scores from a recent history exam. the scores for the 11 students in the class are listed below:
scores: 88, 92, 85, 94, 15, 89, 95, 82, 90, 87, 91
your task is to identify the outlier in this dataset.

Question

Accepted Answer

# Explanation:
## Step1: Recall box - and - whisker plot properties
The line inside the box represents the median.
## Step2: Find median of homework time
From the homework - time box - and - whisker plot, the median is 45 minutes.
## Step3: Find median of TV time
From the TV - time box - and - whisker plot, the median is 60 minutes.

## Step4: Analyze TV time for at least 15 minutes
The lower - quartile of TV time is 15 minutes. 75% of the data lies above the lower - quartile. So, 75% of sophomores watch TV for at least 15 minutes per night.

## Step5: Identify 3rd quartile of TV time
The 3rd quartile (Q3) of the TV - time data is 110 minutes.

## Step6: Calculate IQR of homework time
For homework time, Q1 = 20 minutes and Q3 = 50 minutes. IQR=Q3 - Q1. So, IQR = 50 - 20=30 minutes.

## Step7: Determine if mean can be found from box - plot
A box - plot does not provide enough information to find the mean precisely. So, we cannot find the mean of TV time from the box - plot.

## Step8: Find outlier in history exam scores
First, order the scores: 15, 82, 85, 87, 88, 89, 90, 91, 92, 94, 95.
Q1=(85 + 87)/2 = 86, Q3=(91+92)/2 = 91.5, IQR=91.5 - 86 = 5.5.
Lower fence = Q1-1.5*IQR=86 - 1.5*5.5=86 - 8.25 = 77.75.
Upper fence = Q3 + 1.5*IQR=91.5+1.5*5.5=91.5 + 8.25 = 99.75.
The outlier is 15.

# Answer:
7. Median of homework time: 45 minutes, Median of TV time: 60 minutes
8. 75%
9. 110 minutes
10. 30 minutes
11. No
12. 15

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QUESTION IMAGE

Question

Explanation:

Step1: Recall box - and - whisker plot properties

Step2: Find median of homework time

Step3: Find median of TV time

Step4: Analyze TV time for at least 15 minutes

Step5: Identify 3rd quartile of TV time

Step6: Calculate IQR of homework time

Step7: Determine if mean can be found from box - plot

Step8: Find outlier in history exam scores

Answer: