High School

The heights of 50 students, measured to the nearest centimeter, are as follows:

161, 150, 154, 165, 168, 161, 154, 162, 150, 151
162, 164, 171, 165, 158, 154, 156, 172, 160, 170
153, 159, 161, 170, 162, 165, 166, 168, 165, 164
154, 152, 153, 156, 158, 162, 160, 161, 173, 166
161, 159, 162, 167, 168, 159, 158, 153, 154, 159

Represent the data above using a grouped frequency distribution table, with class intervals such as 160−165, 165−170, etc.

Answer :

A grouped frequency distribution table for the heights of students is created using the specified class intervals, with each interval's frequency counted based on how many student heights fall within it.

To create a grouped frequency distribution table for the heights of the students, we first list the class intervals given and then count the number of data points (student heights) that fall into each interval.

As the question specifies class intervals such as 160 dash165, 165 dash170, etc., we will use these to organize the data.

Class Interval (cm) Frequency

150 -155 11

156 -160 5

161 -165 14

166 -170 10

171 -175 3

To count the frequencies, simply tally how many heights fall within each interval. For example, there are 11 students with heights from 150 to 155 cm.

The data of student heights have been organized into a grouped frequency distribution table with class intervals of 5 cm each. This helps visualize how many students fall within each height range. Use this method for easier analysis of grouped data.

Grouped Frequency Distribution Table for Student Heights

To represent the data as a grouped frequency distribution table, we will use the class intervals of 160−165, 165−170, etc. Here is the step-by-step process:

  1. First, determine the frequency of each height value falling within the specified class intervals.

Frequency Distribution Table

Class Interval (cm) Frequency 150 -15510155-1607160-16516165-17010170-1757

This table groups the student height data into intervals of 5 cm each and counts the number of students within each interval.

  • Frequency Distribution
  • Class Intervals
  • Height Data