Home/ Questions/Q 50143
Next
In Process
Ramakant Sharma
Ink Innovator
Asked: 2024-05-01T21:12:57+05:30 In:

The number of students visiting the college library on daily basis is given below. Construct the cumulative frequency distribution table with class interval 5 : 10, 12, 13, 14, 16, 18, 10, 12, 14, 17, 16, 13, 12, 10, 20, 32, 43, 55, 19, 23, 24, 36, 42, 45, 21, 26, 27, 18, 11, 52

Below is a list of how many students visit the college library each day. Together with class interval 5, create the cumulative frequency distribution table as follows: 10, 12, 13, 14, 16, 18, 10, 12, 14, 17, 16, 13, 12, 10, 20, 32, 43, 55, 19, 23, 24, 36, 42, 45, 21, 26, 27, 18, 11, 52

BPCC 134IGNOU
Share

    1 Answer

    1. Ink Innovator

      Construction of Cumulative Frequency Distribution Table

      A cumulative frequency distribution table summarizes the total frequency of observations up to a certain value or class interval. The given data needs to be organized into class intervals, and then the cumulative frequency for each interval will be calculated.

      1. Determine Class Intervals

      To construct the cumulative frequency distribution table, we first need to determine appropriate class intervals. Since the range of the data is relatively large, let's choose class intervals of size 5.

      2. Sort the Data

      The data needs to be sorted in ascending order before proceeding with the construction of the cumulative frequency distribution table.

      3. Create Frequency Distribution Table

      The frequency distribution table will include columns for class intervals, frequency, and cumulative frequency.

      4. Calculate Cumulative Frequency

      Cumulative frequency is calculated by adding up the frequencies of all the previous class intervals.

      Construction of Cumulative Frequency Distribution Table

      Class Interval Frequency Cumulative Frequency
      5-9 0 0
      10-14 7 7
      15-19 9 16
      20-24 4 20
      25-29 3 23
      30-34 1 24
      35-39 2 26
      40-44 3 29
      45-49 2 31
      50-54 2 33
      55-59 1 34

      Explanation

      • Class Intervals: The data is divided into class intervals of size 5.
      • Frequency: The number of observations falling within each class interval is counted.
      • Cumulative Frequency: Starting from the first class interval, the cumulative frequency is calculated by adding up the frequencies of all previous intervals.

      Conclusion

      A cumulative frequency distribution table provides a summary of the frequency distribution by showing the cumulative total of frequencies up to each class interval. This table helps in analyzing the distribution of data and identifying patterns or trends. By organizing the data into intervals and calculating cumulative frequencies, researchers can gain insights into the distribution of values and make informed decisions based on the data.

      • 0

    Related Questions