Question Video: Identifying the Modal Class of a Grouped Data Set | Nagwa Question Video: Identifying the Modal Class of a Grouped Data Set | Nagwa

# Question Video: Identifying the Modal Class of a Grouped Data Set Mathematics • Second Year of Preparatory School

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A clothing factory wants to know the price range at which most customers buy their clothes. Find the modal class for the following data.

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### Video Transcript

A clothing factory wants to know the price range at which most customers buy their clothes. Find the modal class for the following data.

In this question, we are given the data presented as a grouped frequency table, where data is organized into smaller groups or classes. For example, the first class, which is given as 20 dash, indicates the prices of clothes which are 20 dollars or more but less than 40 dollars because 40 is the lower boundary of the next class.

We are asked to work out the modal class. And we can recall that the modal class of a grouped frequency distribution is the class or classes with the highest frequency. The frequency here is the number of pieces of clothing bought in each cost class. So we need to look at these values and identify the highest one. And that is the value of 604.

However, it would be incorrect to give this as the answer. Remember, we aren’t asked for the highest frequency. We are asked for the modal class, which is the class with the highest frequency. The class which has this frequency is the class 60 dash. And so this class of 60 dash is the answer for the modal class. In context, we can say that the most common price range in which customers buy their clothes is the range of costs from 60 dollars up to 80 dollars.

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