Question

@nincompoop
Jessica grows two types of tomato plants in her garden. For each type, she records the heights, in inches, of five plants.

What can she infer about the heights of the plants?

Type 1: {42, 56, 44, 60, 48}
Type 2: {62, 59, 68, 55, 66}

A.
Type 1 and Type 2 plants have similar height distributions.

B.
Type 1 and Type 2 plants have somewhat similar height distributions.

C.
Type 1 plants and Type 2 plants do not have similar height distributions.

D.
Type 1 plants and Type 2 plants have identical height distributions.

Answer 1

@nincompoop

Answer 2

@dan815

Answer 3

note that; a good criterion is to compute the mean-to-MAD ratio for each distribution.
First we will need a quantitative criterion in order to make a choice
distribution 1:
mean = 50, MAD = 4.8

distribution 2:
mean = 62, MAD = 4.
However: 50/6.4 is rather different from 62/4
I'd say: Type 1 plants and Type 2 plants do not have similar height distributions.
So I would have to say C.
Hope this helps, have a nice day. Tag me on anymore you need help with :)