Frequency Distribution Table and Cumulative Frequencies Quiz

What is the median life time of a lamp based on the given distribution?

Determine the median number of letters in the surnames based on the given frequency distribution.

Calculate the mean number of letters in the surnames.

What is the modal size of the surnames based on the given distribution?

Find the median weight of the students based on the given distribution.

Explain the direct method formula to calculate the mean for grouped data.

Describe the assumed mean method for calculating the mean of grouped data.

Explain the step deviation method to calculate the mean for grouped data.

How is the class mark defined in the context of frequency distributions?

What is the significance of the modal size in a frequency distribution?

Calculating Medians

Formula for median: Median = l + (n/2 - cf) / f × h
Where:
- l is the lower limit of the median class
- cf is the cumulative frequency of the class preceding the median class
- f is the frequency of the median class
- h is the class size
- n is the total number of observations

Examples of Median Calculations

Example 1: Finding the median height of girls with a given frequency distribution table
Example 2: Finding the values of x and y when the median is 525 and the total frequency is 100
Example 3: Finding the median, mean, and mode of the monthly consumption of electricity of 68 consumers
Example 4: Finding the values of x and y when the median is 28.5
Example 5: Finding the median age of 100 policy holders with a given frequency distribution table
Example 6: Finding the median length of 40 leaves of a plant with a given frequency distribution table
Example 7: Finding the median life time of 400 neon lamps with a given frequency distribution table
Example 8: Finding the median number of letters in 100 surnames with a given frequency distribution table
Example 9: Finding the median weight of 30 students with a given frequency distribution table

Important Points

Median is the middle value of a dataset when it is arranged in ascending order
Median divides the data into two equal parts, with 50% of the data below it and 50% above it
Median is a better representation of the average when the data is skewed or has outliers

Test your knowledge on frequency distribution tables and cumulative frequencies with this quiz. Questions may include identifying class intervals, calculating the median, and understanding cumulative frequency. Get ready to practice your statistics skills!