Math  /  Data & Statistics

QuestionIn late August of last year, Pie Dee Restaurant sponsored its first pizza-eating contest. For the contest, the number of slices of cheese pizza eaten by each contestant were counted. The histogram below summarizes the data. Use the histogram to answer each of the questions. (a) How many contestants ate from 11 to 15 pizza slices? \square (b) What is the class width? \square (c) How many contestants ate 16 or more pizza slices? \square

Studdy Solution

STEP 1

What is this asking? We need to look at this histogram and figure out how many people ate a certain amount of pizza, how wide the pizza-eating groups are, and how many big eaters there were! Watch out! Don't mix up the height of the bars with what the numbers on the bottom mean.
The bottom tells you how many pizza slices, and the height tells you how many people ate that many slices!

STEP 2

1. Contestants in 11 to 15 Slice Group
2. Class Width Calculation
3. Big Pizza Eaters (16 or More Slices)

STEP 3

Alright, let's **find** the bar that goes from 1111 to 1515 slices.
See it?
Good!

STEP 4

Now, let's look at how **tall** that bar is.
It goes up to **44**.

STEP 5

That means **44** contestants ate between 1111 and 1515 slices.
Awesome!

STEP 6

Pick *any* bar.
Let's pick the first one, from 66 to 1010 slices.

STEP 7

**Subtract** the starting slice number from the ending slice number: 106=410 - 6 = 4.

STEP 8

Now **add one**! 4+1=54 + 1 = 5.
That's because we're counting *both* the starting and ending slice numbers.

STEP 9

So, our **class width** is **55**.
Each bar covers five different numbers of pizza slices.

STEP 10

Let's find the bars for 1616 to 2020 slices, 2121 to 2525 slices, and 2626 to 3030 slices.

STEP 11

The 1616 to 2020 bar has a height of **33**.
The 2121 to 2525 bar goes up to **66**.
And the 2626 to 3030 bar reaches **77**.

STEP 12

To find the *total* number of big eaters, we **add** those heights together: 3+6+7=163 + 6 + 7 = 16.

STEP 13

Wow, **1616** contestants ate 1616 or more slices!
That's a lot of pizza!

STEP 14

(a) 44 contestants ate between 1111 and 1515 pizza slices. (b) The class width is 55. (c) 1616 contestants ate 1616 or more pizza slices.

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