1.6	1.8	2.1	2.3	2.3	2.5	2.1	2.2	2.2	2.5
2.1	2.5	2.6	2.9	2.9	3.5	3.3	3.4	3.2	3.3
3.1	3.6	3.6	3.6	3.7	4.0	4.1	4.2	4.1	4.8
4.9	4.7	4.8	5.5	5.4	5.4	5.1	5.4	5.2	5.2
5.5	5.1	5.4	5.9	6.0	5.8	5.7	6.2	6.4	6.4

What fraction of this data set is below 5.1

To find the fraction of this data set that is below 5.1, we first need to count how many numbers in the set are less than 5.1 and then divide that by the total number of numbers in the set.

**Step 1: Count the total number of data points:**

There are 5 rows with 10 numbers each, so the total number of data points is:

\[
5 \times 10 = 50
\]

**Step 2: Count the number of data points less than 5.1:**

Let's list out the numbers less than 5.1 from the data set:

1.6, 1.8, 2.1, 2.3, 2.3, 2.5, 2.1, 2.2, 2.2, 2.5,  
2.1, 2.5, 2.6, 2.9, 2.9, 3.5, 3.3, 3.4, 3.2, 3.3,  
3.1, 3.6, 3.6, 3.6, 3.7, 4.0, 4.1, 4.2, 4.1, 4.8,  
4.9  

There are 30 numbers below 5.1.

**Step 3: Calculate the fraction:**

The fraction of the data set below 5.1 is:

\[
\frac{\text{Number of data points below 5.1}}{\text{Total number of data points}} = \frac{30}{50}
\]

**Step 4: Simplify the fraction:**

\[
\frac{30}{50} = \frac{3}{5}
\]

So, the fraction of the data set that is below 5.1 is **\(\frac{3}{5}\)**.

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

1. What is the median of this data set?
2. How many data points are above 4.0?
3. What is the mean of the entire data set?
4. What is the range of the data set?
5. What is the mode of this data set?

**Tip:** To find the fraction of a data set below or above a certain value, count the relevant numbers and then divide by the total.

Calculate the fraction of a dataset below 5.1 with a step-by-step statistical analysis. Learn how to analyze data points and determine fractions using statistical methods. Suitable for advanced mathematics students and data analysts.

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