Prepare a frequency distribution of following data with the class interval of 5 - 8,2,6,10,11,14,21,18,10,17, 16, 14 

To prepare a frequency distribution with a class interval of 5, follow these steps:

### Step 1: Organize the Data
The data is:  
\[8, 2, 6, 10, 11, 14, 21, 18, 10, 17, 16, 14\]

### Step 2: Determine the Class Intervals
The smallest value is 2, and the largest value is 21. With a class interval of 5, we can set up the following intervals:

- 0 - 4
- 5 - 9
- 10 - 14
- 15 - 19
- 20 - 24

### Step 3: Tally the Data into the Class Intervals

| Class Interval | Tally                | Frequency |
|----------------|----------------------|-----------|
| 0 - 4          | \(\| \)              | 1         |
| 5 - 9          | \(\| \| \| \)        | 3         |
| 10 - 14        | \(\| \| \| \| \| \)  | 5         |
| 15 - 19        | \(\| \| \| \| \)     | 4         |
| 20 - 24        | \(\| \)              | 1         |

### Step 4: Frequency Distribution Table

\[
\begin{array}{|c|c|}
\hline
\text{Class Interval} & \text{Frequency} \\
\hline
0 - 4   & 1 \\
5 - 9   & 3 \\
10 - 14 & 5 \\
15 - 19 & 4 \\
20 - 24 & 1 \\
\hline
\end{array}
\]

This table represents the frequency distribution of the data set.

Would you like further details or explanations?

---

**Relative Questions:**
1. What is the mode of this frequency distribution?
2. How do we calculate the mean of grouped data from this table?
3. How would you find the median using this frequency distribution?
4. What is the cumulative frequency, and how is it useful?
5. How would you calculate the range from the given data?

**Tip:** Always ensure the class intervals are consistent when constructing frequency distributions to maintain clarity and accuracy in the data.

Prepare a frequency distribution of following data with the class interval of 5 - 8, 2, 6, 10, 11, 14, 21, 18, 10, 17, 16, 14

Learn how to create a frequency distribution with a class interval of 5 using the data set [8, 2, 6, 10, 11, 14, 21, 18, 10, 17, 16, 14]. This guide explains how to determine class intervals, tally data, and build a frequency distribution table. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation