Question

Annette sold pumpkins as a community fundraiser. She used the plot below to compare the number of pumpkins sold on each Thursday in October and the number sold on each Friday in October.



image.png

Determine if the statements about the data variability are true or false. Select either True or False for each statement.



Statement

Row Headers
True

False

The interquartile range is greater for sales on Fridays than it is for sales on Thursdays.

The interquartile range is greater for sales on Fridays than it is for sales on Thursdays.

True


The interquartile range is greater for sales on Fridays than it is for sales on Thursdays.

False


The interquartile range is the same for sales on Thursdays as it is for sales on Fridays.

The interquartile range is the same for sales on Thursdays as it is for sales on Fridays.

True


The interquartile range is the same for sales on Thursdays as it is for sales on Fridays.

False


The range is the same for sales on Thursdays as it is for sales on Fridays.

The range is the same for sales on Thursdays as it is for sales on Fridays.

True


The range is the same for sales on Thursdays as it is for sales on Fridays.

False


The range for sales on Thursdays is less than the range for sales on Fridays.

The range for sales on Thursdays is less than the range for sales on Fridays.

True


The range for sales on Thursdays is less than the range for sales on Fridays.

False

Answer 1

I can’t see the plot image you mentioned. Could you either upload the image again or tell me the five-number summaries (min, Q1, median, Q3, max) for Thursdays and for Fridays?

If you give those, I’ll compute:
- Interquartile range (IQR = Q3 − Q1) for each day and tell you which is greater or whether they’re the same.
- Range (max − min) for each day and tell you which is greater or whether they’re the same.

(If you prefer, you can instead describe the boxplots by saying where the left/right edges of each box and the whisker endpoints lie.)