Median of Grouped Data

The video tutorial explains measures of central tendency, focusing on the median. It covers how to calculate the median in different data sets, including raw, ungrouped, and grouped data. The tutorial also discusses cumulative frequency distributions and how to handle less than and more than types. Practical examples are provided to illustrate the calculation of the median, including solving for missing frequencies.

Why is the median often preferred over the mean in datasets with extreme values?

• Because it is easier to calculate

• Because it is not affected by extreme values

• Because it requires less data

• Because it is always larger than the mean

What is the first step in finding the median of a frequency distribution?

• Find the range

• Identify the mode

• Arrange the data in ascending or descending order

• Calculate the mean

What does the term 'cumulative' refer to in cumulative frequency distribution?

• The highest value in the data

• The total or sum of frequencies

• The average of the data

• The difference between maximum and minimum values

In a 'less than type' cumulative frequency distribution, what does the last cumulative frequency represent?

• The smallest value in the dataset

• The total number of observations

• The median value

• The mode of the dataset

How can a 'more than type' cumulative frequency distribution be converted back to continuous classes?

• By adding the frequencies

• By subtracting the cumulative frequencies

• By multiplying the frequencies

• By dividing the frequencies

What is the 'median class' in grouped data?

• The class with the highest frequency

• The class with the smallest range

• The class containing the middle observation

• The class with the lowest frequency

Which formula component represents the lower limit of the median class?

• l

• cf

• n

• f

What must be done first when given a 'less than type' cumulative frequency distribution to find the median?

• Calculate the mean

• Convert it to continuous class distribution

• Convert it to a 'more than type' distribution

• Identify the mode

If the median of a dataset is given, what can be inferred about the data?

• The mean and median are equal

• The data has no outliers

• Half the data is above and half is below the median

• The data is normally distributed

What is the relationship between x and y if the total frequency is 50 and x + y = 28?

• x = 25, y = 25

• x = 22, y = 28

• x = 28, y = 22

• x = 28, y = 28