Question

Chucky grabbed 11 1111 items in the grocery store that each had a different price and had a mean cost of about $ 4.44 $4.44dollar sign, 4, point, 44. On his way to the register, he gave in to an impulse to add a 1 2 th 12 th 12, start superscript, start text, t, h, end text, end superscript item: an entire wheel of cheese that cost $ 39.99 $39.99dollar sign, 39, point, 99

Answer 1

Question:

Chucky grabbed 11 items in the grocery store that each had a different price and had a mean cost of about $4.44. On his way to the register, he gave in to an impulse to add a 12th item: an entire wheel of cheese that cost $39.99.

How will adding the wheel of cheese affect the mean and median?

Answer:

There will be a big difference in the mean when the new item is added

Step-by-step explanation:

Given

$Items = 11$

$Mean = \ 4.44$

Before we solve further, we need to first calculate the total amount of the 11 items.

$Mean = \frac{Total}{Items}$

Make Total the Subject of formula

$Total = Mean * Items$

$Total = \ 4.44 * 11$

$Total = \ 48.84$

When the 12th item of $39.99 is added, the new mean becomes.

$New\ Mean = \frac{Total + \ 39.99}{11 + 1}$

$New\ Mean = \frac{\ 48.84 + \ 39.99}{11 + 1}$

$New\ Mean = \frac{\ 88.83}{12}$

$New\ Mean = \ 7.4025$

By comparing this the old mean, we can see a huge increment between $4.44 and $7.4025

This means that there will be a big difference in the mean when the new item is added.

For the Median:

The old mean shows that the prices of the 11 items is within a small range from $4.44.

So, when the new item is added the median will only change a little bit.

In other words, the median value will only change a little bit.

Answer 2

Answer:

Step-by-step explanatThat is the correct anwserion: