Q 67. Student survey A survey of a lar... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 1: Q 67. (page 48)

Student survey A survey of a large high school class asked the following questions:
(i) Are you female or male? (In the data, male = $0$ , female = $1$ )
(ii) Are you right-handed or left-handed? (In the data, right = $0$ , left = $1$ )
(iii) What is your height in inches?
(iv) How many minutes do you study on a typical weeknight?
The figure below shows histograms of the student responses, in scrambled order and without scale markings. Which histogram goes with each variable? Explain your reasoning.

Short Answer

Expert verified

Histogram (c) goes with question (i)

Histogram (d) goes with question (iv)

Histogram (b) goes with question (ii)

Histogram (a) goes with question (iii)

Step by step solution

Given information

(i)Female or male (In the data, male = $0$ , female = $1$ )

(ii)Right-handed or left -handed (In the data, right = $0$ , left = $1$ )

(iii)Height in inches.

(iv)The study time at weeknight.

Concept

A histogram is a graphing tool that is extensively used. It's used to summarise discrete or continuous data measured on a scale of one to ten. It's a standard way of exhibiting essential data distribution aspects in an easy-to-understand format.

Explanation

The histogram (a) corresponds to question (iii), and it depicts the distribution of height in inches, since most of the respondents from a large high school class belong to the same group, and only a few are taller than average.

The histogram (b) corresponds to question (ii), indicating whether a pupil in a large high school class is right- or left-handed. People are normally right-handed since right is 0 and left is 1. The histogram (b) reveals that the majority of them are right-handed, which is in line with the general trend, and that only a handful are left-handed.

The histogram (c) corresponds to query I in that it categorizes individuals from a large high school class by gender. There are more ladies in the class than males because male = 0 and female = 1.

The histogram (d) corresponds to question (iv), which is how much time each student in a large high school class spends on a typical weekday. Variations in the distribution are conceivable owing to differences in study duration. The histogram's distribution is symmetric.