close solutoin list

A variety of information has been collected for all district high schools. Find the most appropriate measure of central tendency for each variable, and summarize this information in a paragraph. (HINT: The level of measurement of the variable will generally tell you which measure of central tendency is appropriate. Remember to organize the scores from high to low before finding the median.) High School Enrollment Largest Racial/Ethnic Group % College Bound Most Popular Sport Condition of Physical Plant (10 = Excellent) A 1400 White 25 Football 10 B 1223 White 77 Baseball 7 C 876 Black 52 Football 5 D 1567 Hispanic 29 Football 8 E 778 White 43 Basketball 4 F 1690 Black 35 Basketball 5 G 1250 White 66 Soccer 6 H 970 White 54 Football 9

BuyFind

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836
BuyFind

Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

Solutions

Chapter
Section
Chapter 3, Problem 3.2P
Textbook Problem
1328 views

A variety of information has been collected for all district high schools. Find the most appropriate measure of central tendency for each variable, and summarize this information in a paragraph. (HINT: The level of measurement of the variable will generally tell you which measure of central tendency is appropriate. Remember to organize the scores from high to low before finding the median.)

High School Enrollment Largest Racial/Ethnic Group % College Bound Most Popular Sport Condition of Physical Plant (10 = Excellent)
A 1400 White 25 Football 10
B 1223 White 77 Baseball 7
C 876 Black 52 Football 5
D 1567 Hispanic 29 Football 8
E 778 White 43 Basketball 4
F 1690 Black 35 Basketball 5
G 1250 White 66 Soccer 6
H 970 White 54 Football 9

Expert Solution
To determine

To find:

The most appropriate measures of central tendency for each variable.

Explanation of Solution

Description:

When the variables measured have non-numerical scores or categories, they are said to have a nominal level of measurement.

When the variables measured have non-numerical scores or categories that could be ranked from high to low, they are said to have an ordinal level of measurement.

When the variables measured have numerical scores and can be used for further statistical analysis, they are said to have an interval ratio level of measurement.

From the given information, there are five variables Enrollment, Largest Racial/Ethnic Group, % College Bound, Most popular Sport, and Condition of Physical plant. Here, the variables Enrollment and % College Bound have a numeric value; therefore, the level of measurement of these variables is interval-ratio. The variables Largest Racial/Ethnic Group and Most Popular sport can be classified into categories. Therefore, the level of measurement of these variables is Nominal. Further, the variable Condition of physical plant can be classified into categories and can be ranked; therefore, the level of measurement is Ordinal.

Choosing a Measures of Central Tendency:

When the data is Nominal type — Mode

When the data is Ordinal type — Median

When the data is Interval ratio type — Mean

For the variable Enrollment, the measure of central tendency is: Mean

Formula Used:

The formula to calculate mean is given by,

X¯=i=1NXiN

The mean is given by,

X¯=i=1NXiN

Substitute 8 for N, 1400 for X1, 1223 for X2 and so on in the above mentioned formula,

X¯=1400+1223+876+1567+778+1690+1250+9708=97548=1219.25

For the variable Largest Racial/Ethnic Group, the measure of central tendency is: Nominal.

Formula used:

The Mode:

The mode of any distribution of scores is the value that occurs most frequently.

In the data: “White” occurs for most frequently. Therefore, the mode is “White”.

For the variable % College Bound, the measure of central tendency is: Mean

Want to see this answer and more?

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

See solution

Additional Math Textbook Solutions

Find more solutions based on key concepts
Show solutions
Add or Subtract Perform the addition or subtraction and simplify. 41. 1x+5+2x3

Precalculus: Mathematics for Calculus (Standalone Book)

Solve the equations in Exercises 126. x44x2=4

Finite Mathematics and Applied Calculus (MindTap Course List)

263

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Solve each inequality. 0x6

Trigonometry (MindTap Course List)

The y-coordinate of the center of mass of the region bounded by , x = 1, x = 5, y = 0 is: 4

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

In Exercises 1 to 4, find tan and tan for each triangle.

Elementary Geometry for College Students

0 1 π It does not exist.

Study Guide for Stewart's Multivariable Calculus, 8th

List the major sections of an APA-style report in order of appearance.

Research Methods for the Behavioral Sciences (MindTap Course List)

Define induction and deduction and explain the role of each in the scientific method.

Research Methods for the Behavioral Sciences (MindTap Course List)

28. A survey of magazine subscribers showed that 45.8% rented a car during the past 12 months for business reas...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

SKILL BUILDING EXERCISES Finding Logistic Parameters: In Exercises S-8 through S-21, you are asked to find the ...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

Consider the initial-value problem dA/dt = kA, A(0) = A0 as the model for the decay of a radioactive substance....

A First Course in Differential Equations with Modeling Applications (MindTap Course List)