Question

Which of the following line plots descibes the given conditions correctly?

$\text{Total number of fractions}=10$

$\text{Number of}\frac{1}{8}\text{s}=2\times \text{Number of}\frac{1}{2}\text{s}$

$\text{Number of}\frac{1}{2}\text{s}=3\times \text{Number of}\frac{1}{4}\text{s}$

$\text{Number of}\frac{1}{4}\text{s}=1$

• A. Both Plot 1 and Plot 3
• B. Only Plot 2
• C. Only Plot 3
• D. Only Plot 1

Answer 1

The correct option is B Only Plot 2

Given:

$\text{Total number of fractions}=10$

$\text{Number of}\frac{1}{8}\text{s}=2\times \text{Number of}\frac{1}{2}\text{s}$

$\text{Number of}\frac{1}{2}\text{s}=3\times \text{Number of}\frac{1}{4}\text{s}$

$\text{Number of}\frac{1}{4}\text{s}=1$

Hence, we can tabulate the frequency of each fraction as follows:

Fraction	Frequency
$\frac{1}{8}$	$6$
$\frac{1}{4}$	$1$
$\frac{1}{2}$	$3$

Plotting this data on a number line, we get:


Hence, of the given plots, only plot 2 describes the riddle correctly.