Answer:
The correct answer is B.The interquartile range of the data increases when the 9-mile week is included in the data.
Step-by-step explanation:
30,33,34,40,41,45,50,50
So the median will be
40+41=81
81/2=40.5
If we add the 9 then the median will be 40 so the median becomes less so the first and the last statement are wrong.
The interquartile range will be
33+34=77
77/2=38.5
45+50=95
95/2=47.5
47.5-38.5=9
If we add the 9 then the interquartile range will be
30+40=70
70/2=35.5
50+34=84
84/2=42
84-42=42
So the interquartile range changes and the statement is right.
To calculate the average we do
30+40+41+33+45+50+34+50=323
323/8=40.375
If we add the 9 we will get
9+30+40+41+33+45+50+34+50=332
332/9=36.8
So,the average changes and the statement is wrong.