Q. 2.115 - Elementary Statistics

Question

Residential Energy Consumption. Construct a relative frequency polygon for the energy-consumption data given in Exercise $2.84$ Use the classes specified in that exercise.

Step-by-Step Solution

Answer

Figure depicts the relative frequency polygon.

Step 1: Given Information

Given in the question that, the residential energy consumption. We have to construct a relative frequency polygon for the energy-consumption data. 

Step 2: Explanation

From the result of previous exercise,

Class	Frequency	Relative frequency
$40-49$	$1$	$0.02$
$50-59$	$7$	$0.14$
$60-69$	$7$	$0.14$
$70-79$	$3$	$0.06$
$80-89$	$6$	$0.12$
$90-99$	$10$	$0.2$
$100-109$	$5$	$0.1$
$110-119$	$4$	$0.08$
$120-129$	data-custom-editor="chemistry" $2$	$0.04$

$130-139$

$3$

$0.06$

$140-149$	$0$	$0$
$150-159$	$2$	$0.04$

Step 3: Explanation

The midpoints are located in the middle of two lower limits:

$45,55,65,75,85,95,105,115,125,135,145,155$

As indicated below, add the above points to the graphs and connect them with a straight line.