We are given a set of data: 96, 279, 255, 254, 75, 211, 271, 291. We need to create a histogram with bins (0, 100], (100, 200], (200, 300]. Each bin excludes the left endpoint and includes the right endpoint. We need to find the frequency of values that fall into each bin.

1. Problem Description

We are given a set of data: 96, 279, 255, 254, 75, 211, 271,

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1. We need to create a histogram with bins (0, 100], (100, 200], (200, 300]. Each bin excludes the left endpoint and includes the right endpoint. We need to find the frequency of values that fall into each bin.

2. Solution Steps

First, we define the bins:

Bin 1: (0, 100]

Bin 2: (100, 200]

Bin 3: (200, 300]

Now, let's examine the data points and count how many fall into each bin:

Data: 96, 279, 255, 254, 75, 211, 271, 291

Bin 1: (0, 100]

96 is in this bin.

75 is in this bin.

Count: 2

Bin 2: (100, 200]

There are no numbers in this bin.

Count: 0

Bin 3: (200, 300]

279 is in this bin.

255 is in this bin.

254 is in this bin.

211 is in this bin.

271 is in this bin.

291 is in this bin.

Count: 6

Therefore, the histogram will have the following frequencies:

Bin 1: (0, 100] has a frequency of

2. Bin 2: (100, 200] has a frequency of

0. Bin 3: (200, 300] has a frequency of

6.

3. Final Answer

Bin (0, 100]: 2

Bin (100, 200]: 0

Bin (200, 300]: 6