Compare MAD: Monday 3, 9, 6, 6; Tuesday 1, 11, 4, 8 Step by Step

Step by step

The question

Question: compare the MAD of Monday, 3, 9, 6, 6, and Tuesday, 1, 11, 4, 8.

Monday: 3, 9, 6, 6

= Tuesday: 1, 11, 4, 8

The MAD says how spread out the numbers are.

A smaller MAD means the numbers are closer together.

smaller MAD = closer together

1 MAD of Monday

Monday: the mean is the sum divided by how many.

The sum is 24.

There are 4 numbers.

24 divided by 4 is 6.

= mean of Monday = 3 + 9 + 6 + 64 = 244 = 6

The distances from 6: 3, 3, 0, 0.

= distances: 3, 3, 0, 0

They add up to 6.

Divided by 4: 1.5.

= MAD = 64 = 1.5

2 MAD of Tuesday

Tuesday: the mean is the sum divided by how many.

The sum is 24.

There are 4 numbers.

24 divided by 4 is 6.

= mean of Tuesday = 1 + 11 + 4 + 84 = 244 = 6

The distances from 6: 5, 5, 2, 2.

= distances: 5, 5, 2, 2

They add up to 14.

Divided by 4: 3.5.

= MAD = 144 = 3.5

Careful!

The question is about spread.

So we compare the MADs, not the means.

Careful: compare the spread, not the mean

3 Compare

1.5 is smaller.

So Monday is closer together: more consistent.

= 1.5 < 3.5 → Monday is closer together

4 Check

Let's check with the lists: Monday goes from 3 to 9.

Tuesday goes from 1 to 11.

Monday is more bunched up.

So the answer is right!

Monday: 3 to 9, Tuesday: 1 to 11

Let's look back.

First: mAD of Monday.

Then: mAD of Tuesday.

Then: compare.

Last: check.

Answer