20 POINTS FOR EACH QUESTION. I WILL GIVE BRAINIEST, THANKS, AND 5 STARS IF YOU ANSWER ALL CORRECTLY.PLEASE ANSWER AS MANY AS YOU CAN. MAKE SURE TO LABEL THE QUESTION.
Question 1(Multiple Choice Worth 20 points)
(Effects of Changes in Data MC)
The shoe sizes of a group of middle school girls are shown.
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
If a shoe size of 9 is added to the data, how does the median change?
a.The median stays 6.75.
b.The median increases to 6.75.
c.The median stays 7.
d.The median increases to 7.
Question 2(Multiple Choice Worth 20 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 42.5° is added to the data, how does the mean change and by how much?
a.The means stays at 80.4°.
b.The mean stays at 77.5°.
c.The mean increases by 2.9°.
d.The mean decreases by 2.9°.
Question 3(Multiple Choice Worth 20 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 82° is changed to 94°, which of the following measures changes the most and what is the new value?
a.IQR 34°
b.Range 48°
c.Mean 81.4°
d.Median 84°
Question 4(Multiple Choice Worth 20 points)
(Effects of Changes in Data MC)
The shoe sizes of a group of middle school girls are shown.
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
If a shoe size of 7 is added to the data, how does the IQR change?
a.The IQR becomes a 2.5.
b.The IQR becomes a 1.5.
c.The IQR remains a 3.
d.The IQR remains a 2.
Question 5(Multiple Choice Worth 20 points)
(Effects of Changes in Data MC)
The average high temperatures in degrees for a city are listed.
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 98° is added to the data, how does the mean change?
a.The mean increases by 8.2°.
b.The mean decreases by 8.2°.
c.The mean increases by 1.4°.
d.The mean decreases by 1.4°.
