Question

Calculate the median for the data below.

87 89 91 94 98 103 105 111

Group of answer choices

98

94

97.25

96

Flag question: Question 2
Question 21 pts
The mean age of a gymnastics team is 15.2 years. A 9-year-old sibling is invited to join the team. How does the sibling’s age affect the mean?
Group of answer choices

The new mean age will be greater than 15.2 years.

The new mean age will be less than 15.2 years.

The new mean age will be 12.5 years.

The new mean age will be 9 times larger than the original mean.

Flag question: Question 3
Question 31 pts
Mr. Bridge teaches four regular classes and a seminar. The numbers of students in his classes are:

32 29 33 8 31

What is the most appropriate measure of center?

Group of answer choices

mode

median

range

mean

Answer 1

Question 1 — Median:
For 8 values the median is the average of the 4th and 5th values: (94 + 98)/2 = 96.
Answer: 96

Question 2 — Effect on mean:
A 9-year-old is younger than the current mean (15.2), so adding them will lower the mean.
Answer: The new mean age will be less than 15.2 years.

Question 3 — Best measure of center:
The set {32, 29, 33, 8, 31} has an outlier (8), so the median is the most appropriate (resistant to outliers).
Answer: median