POTW #5 - Thanks Mystery Mathematicians

We have a special POTW this week. We have two esteemed guest-creators of POTW #5. Who are they? Well, that is part of the question! Please see below for POTW #4 Solutions and for the POTW #5 question (it will be the same question for both grades this week).

POTW #4 Grade 8 Solution:


POTW #4 Grade 7 Solution:


POTW #5 Grade 7/8 Question:

Jilly and Jolly were bored during math class (and were waiting to leach data off of others), so they decided to entertain themselves. They wanted to see which boy had the longest hair (measurements may not be accurate). They measured and found this data:

7cm, 4cm, 5cm

5cm, 15cm, 14cm

7cm, 16cm, 2cm,

4cm, 2cm, 9cm,

5cm, 6cm, 4cm,

6cm, 9cm

Find the mean and mode of the data as well as the range. Jilly and Jolly have decided to then go measure the hair lengths of the neighboring class. They predict that the 5 boys in that class will lift the mean by 2cm. What is the total amount of hair the boys in the neighboring class have?

Who do you think had the longest hair? The shortest? Reply with your answers to the comment section below in the POTW #5 thread.

Aleks	Fred
Stanley	Ethan
Maxwell	Nick
Yoav	Alan
Ryan	Can
Cole. S	Mathew
Ivan	Richard
Mateo	Derek
Dhruv

+BONUS QUESTION FOR PEOPLE NOT IN MRS.FAIRBARN’S CLASS

Who do you think are Jilly & Jolly without previous knowledge of who used their own precious time in completing this experiment and posing this GREAT POTW?