Medians & Modes

Question 1

What is the range?

Answer 1

The range is the greatest number minus the least number

Question 2

In a list of 21 integers, 11 are less than 10 and 11 are greater than 8. What does this tell you about the list?

Answer 2

If there are 21 integers, then the 11th integer from either end of the list is the median

Because there are 11 integers that are less than 10 and 11 integers that are greater than 8, the 11th integer from either end of the list must be 9.

answer = 9

Question 3

Years of experience
< 3: 25 employees 
3 to 5: 13 employees 
6 to 10: 10 employees 
>10: 2 employees 
Total: 50 employees 

QA: The mode for number of years of experience for the employees

QB: 3

Answer 3

Answer: The relationship cannot be determined!

Question 4

In a list of 21 numbers, 11 are less than 10 and 11 are greater than 8

Answer 4

WHEN YOU SEE THE WORD “NUMBERS” instead of INTEGER = BE SUSPICOUS

because it did not specify integers, the answer could be 9 or 9.5 or 9.75 so the answer CANNOT BE DETERMINED = D

Question 5

Does a boxplot provide information about the mode or the average?

Answer 5

= NO!!!!

Box plots only provide information about the range and the median

Question 6

Does a boxplot provide information about the range and the median of a set?

Answer 6

YES! and that is all!!

boxplots do not provide information about the mode or the average or arithmetic mean

Question 7

If there are 10 terms in a list, the median is the average of which numbers in the list?

Answer 7

if there are 10 terms in a list, the median is the average of the 5th and 6th numbers in the list