For a school project, two students, Shona and Miguel, recorded the number of text messages each of them sent each day for a
60
−
60− day period. The box plots summarize the recorded data.
​
​


Part A
Select from the drop-down menus to correctly complete the sentence
​
​The median of Miguel's data is
greater than
the median of Shona's data, and the range of Miguel's data is
greater than
the range of Shona's data.

Part B
Select from the drop-down menu to correctly complete the sentence.
​
​Approximately
50%
of Miguel's data values are greater than the median of Shona's data.
​
Part C
Which of the statements can be concluded from the box plots?
​Select all that apply.
(b)
A
For approximately 15 days, Miguel sent 50 or more text messages per day.
B
For at least 5 days, Shona sent 55 or more text messages per day.
C
There was at least one day on which Shona sent 40 text messages
D
The number of days on which Shona sent more text messages than Miguel is greater than 30.
E
Shona and Miguel each sent 25 text messages on the same day.
(c)


Part D
There are different methods of identifying outliers in a set of data values. One method is described
​Multiply the interquartile range by 1.5
Add the result to the third quartile to determine the upper limit, and subtract the result from the first quartile to determine the lower limit.
Any value greater than the upper limit or less than the lower limit is considered an outlier.​
​On the
st day, Shona sent
text messages, which will be considered an outlier based on the described method. Which number could be the value of
?
​Select all that apply.
A
555
B
101010
C
151515
D
656565
E
757575