Chapter 2: 2.118 (page 75)

Residential Energy Consumption. Refer to the energy consumption data given in Exercise 2.84.
a. Construct a table similar to table $2.14$ for the data, based on the classes specified in Exercise 2.84. Interpret your results.
b. Construct an ogive for the data.

Short Answer

Expert verified

(a) The Construct a table similar to table table for the data is shown in figure,

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

$130 - 139$	$3$	$0.06$
$140 - 149$	$0$	$0$
$150 - 159$	$2$	$0.04$

b. Construct an ogive for the data graph is shown in.

Step by step solution

Part (a) Step 1: Given Information

Given in the question that to refer to the energy consumption data given in exercise 2.84

We have construct a table similar to table $2.14$ for the data.

Part (a) Step 2: Explanation

Based on the outcome of the previous exercise, the table will be

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

$130 - 139$	$3$	$0.06$
$140 - 149$	$0$	$0$
$150 - 159$	$2$	$0.04$

Part (b) Step 1: Given Information

We have to refer exercise 2.84 and construct an ogive for the data.

Part (b) Step 2: Explanation

The cumulative relative frequency is calculated by dividing the overall frequency of 50 by the cumulative frequency. Then,

Lower class limit	Cumulative frequency	Cumulative relative frequency
$40$	$0$	$0$
$50$	$1$	$0.02$
$60$	$8$	$0.16$
$70$	$15$	$0.3$
$80$	$18$	$0.36$
$90$	$24$	$0.48$
$100$	$34$	$0.68$
$110$	$39$	$0.78$
$120$	$43$	$0.86$

$130$	$45$	$0.9$
$140$	$48$	$0.96$
$150$	$48$	$0.96$
$160$	$50$	$1$

Part (b) Step 3: Explanation

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

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Residential Energy Consumption. Refer to the energy consumption data given in Exercise 2.84.
a. Construct a table similar to table $2.14$ for the data, based on the classes specified in Exercise 2.84. Interpret your results.
b. Construct an ogive for the data.

Short Answer

Step by step solution

Part (a) Step 1: Given Information

Part (a) Step 2: Explanation

Part (b) Step 1: Given Information

Part (b) Step 2: Explanation

Part (b) Step 3: Explanation

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Residential Energy Consumption. Refer to the energy consumption data given in Exercise 2.84.a. Construct a table similar to table 2.14for the data, based on the classes specified in Exercise 2.84. Interpret your results.b. Construct an ogive for the data.

Short Answer

Step by step solution

Part (a) Step 1: Given Information

Part (a) Step 2: Explanation

Part (b) Step 1: Given Information

Part (b) Step 2: Explanation

Part (b) Step 3: Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Applied Mathematics

Calculus

Probability and Statistics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Residential Energy Consumption. Refer to the energy consumption data given in Exercise 2.84.
a. Construct a table similar to table $2.14$ for the data, based on the classes specified in Exercise 2.84. Interpret your results.
b. Construct an ogive for the data.