The problem asks us to create a histogram from a given set of data points representing the number of guests at Hunter's Ribeye BBQ House each day since they opened. The data points are 96, 279, 255, 254, 75, 211, 271, 291. We need to determine appropriate bins and count how many data points fall into each bin. The problem states that each bin excludes the left endpoint and includes the right endpoint. Based on the graph in the image, we should choose suitable bins, and then construct the histogram. Since we do not know the exact bin sizes that Khan Academy expects, we can create bins of size 50, which seems reasonable based on the range of values.

1. Problem Description

The problem asks us to create a histogram from a given set of data points representing the number of guests at Hunter's Ribeye BBQ House each day since they opened. The data points are 96, 279, 255, 254, 75, 211, 271,

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1. We need to determine appropriate bins and count how many data points fall into each bin. The problem states that each bin excludes the left endpoint and includes the right endpoint. Based on the graph in the image, we should choose suitable bins, and then construct the histogram. Since we do not know the exact bin sizes that Khan Academy expects, we can create bins of size 50, which seems reasonable based on the range of values.

2. Solution Steps

Step 1: Order the data points from smallest to largest.

The ordered data points are: 75, 96, 211, 254, 255, 271, 279,

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1.

Step 2: Choose appropriate bin sizes. Since the data ranges from 75 to 291, a reasonable bin size is

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0. We will create the following bins:

(50, 100], (100, 150], (150, 200], (200, 250], (250, 300].

Step 3: Count the number of data points in each bin.

(50, 100]: 75,

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6. Count =

2. (100, 150]: None. Count =

0. (150, 200]: None. Count =

0. (200, 250]: 211,

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4. Count =

2. (250, 300]: 255, 271, 279,

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1. Count =

4.

Step 4: Construct the histogram. The height of each bar corresponds to the count in each bin.

The first bar has height

2. The second and third bars have height

0. The fourth bar has height

2. The fifth bar has height

4.

3. Final Answer

The counts for the bins are:

(50, 100]: 2

(100, 150]: 0

(150, 200]: 0

(200, 250]: 2

(250, 300]: 4

Final Answer: The number of days in each bin will be 2, 0, 0, 2, 4 respectively.