To determine the interquartile range (IQR) from a box plot, you typically need to look at the quartiles represented on the plot. The IQR is defined as the difference between the first quartile (Q1) and the third quartile (Q3).
If we had the specific values from the box plots for both homework time and screen time, we could calculate the IQR for each. The first quartile (Q1) is the 25th percentile, and the third quartile (Q3) is the 75th percentile. The formula to calculate IQR is:
\[ \text{IQR} = Q3 - Q1 \]
Since I cannot see the box plot image you referenced, I will provide you with help based on your options to choose statements that may be correct.
- Based on the given statements:
A. In general, these 7th graders spend more on screen time than doing homework.
B. The IQR for homework time is larger than the IQR for screen time.
C. 25% of the 7th graders spend between 48 & 60 minutes per night on homework.
D. The time spent on homework has a higher median than the screen time.
To determine which two statements are TRUE, you would compare the median lines and the quartile values represented in the box plots.
- If the box plot for screen time is higher than the box plot for homework time, then statement A is TRUE.
- If the IQR (Q3 - Q1) is larger for homework than for screen time, then statement B is TRUE.
- If the lower quartile for homework looks to be at 48 and the upper quartile at 60, then statement C is TRUE.
- If the median for homework time is higher than that for screen time, then statement D is TRUE.
Without seeing the box plots, I cannot definitively say which two statements are true, but usually, you would select the two statements based on your analysis of the box plot data. If you observe the plots, look for the values of Q1, Q3, and the medians to make accurate choices.
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