Math Problem Statement

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

Solution

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

Step 1: Organize the Data

The data is:
8,2,6,10,11,14,21,18,10,17,16,148, 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 IntervalTallyFrequency
0 - 4\|1
5 - 9\| \| \|3
10 - 14\| \| \| \| \|5
15 - 19\| \| \| \|4
20 - 24\|1

Step 4: Frequency Distribution Table

\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.

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Math Problem Analysis

Mathematical Concepts

Statistics
Frequency Distribution
Class Intervals

Formulas

Frequency Distribution Table

Theorems

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Suitable Grade Level

Grades 6-8