Dean Chalmers and Julian Gilbey Solutions for Chapter: Measures of Central Tendency, Exercise 3: EXERCISE 2A

Find the mode(s) of the following sets of numbers: $19, 21, 23, 16, 35, 8, 21, 16, 13, 17, 12, 19, 14, 9$.

Which of the eleven words in this sentence is the mode?

Identify the mode of $x$ and of $y$ in the following table.

Find the modal class for $x$ and for $y$ in the following tables.

A small company sells plass, which it cuts to size to lit into window frames. How could the company benefit from knowing the modal size of glass its customers purchase?

Four classes of continuous data are recorded as $1-7, 8-16, 17-20$ and $21-25.$ The class $1-7$ has a frequency of $84$ and there is no modal class. Find the total frequency of the other three classes.

Data about the times, in seconds, taken to run $100$ metres by $n$ adults are given in the following table.

By first investigating the possible values of $a$ and of $b,$ find the largest possible value of $n,$ given that the modal class contains the slowest runners.

Three classes of continuous data are given as $0⩽x<4, 4⩽x<10$ and $10⩽x<18.$ The frequency densities of the classes $0⩽x<4$ and $10⩽x<18$ are in the ratio $4: 3$ and the total frequency of these two classes is $120.$ Find the least possible frequency of the modal class, given that the modal class is $4⩽x<10.$