BuyFind*arrow_forward*

4th Edition

HEALEY + 1 other

Publisher: Cengage Learning,

ISBN: 9781305093836

Chapter 4, Problem 4.1P

Textbook Problem

519 views

Compute the range and standard deviation of the following 10 scores. *(HINT: It will be helpful to organize your computations as in Table* 4.4.)

10, 12, 15, 20, 25, 30, 32, 35, 40, 50

Expert Solution

To determine

**To find:**

The range and standard deviation of the given scores

**Solution:**

The range and standard deviation of the given scores is 40 and 12.28 respectively.

The given scores are,

**Formula used:**

The formula to calculate the range is,

Let the data values be

The formula to calculate the mean is,

The formula to calculate the standard deviation is,

Where,

**Calculation:**

Arrange the given data in increasing order.

The data in increasing order is given by,

The highest score is 50 and the lowest score is 10.

The range is given by,

Substitute 50 for high score and 10 for low score in the above mentioned formula,

The range of population is 40.

The size of the population is 10.

The mean is given by,

Substitute 10 for

Consider the following table of sum of squares,

Scores |
||

10 | 285.61 | |

12 | 222.01 | |

15 | 141.61 | |

20 | 47.61 | |

25 | 3.61 | |

30 | 3.1 | 9.61 |

32 | 5.1 | 26.01 |

35 | 8.1 | 65.61 |

40 | 13.1 | 171.61 |

50 | 23.1 | 533.61 |

From equation

Square both sides of the equation.

Proceed in the same manner to calculate

The formula to calculate the standard deviation is given by,

From equation

Thus, range is 40 and standard deviation is 12.28.

**Conclusion:**

Therefore, the range and standard deviation of the given scores is 40 and 12.28 respectively.

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Get SolutionsEssentials Of Statistics

Show all chapter solutions

Ch. 4 - Compute the range and standard deviation of the...Ch. 4 - Compute the range and standard deviation of the...Ch. 4 - In problem 3.1 at the end of Chapter 3, you...Ch. 4 - SOC In problem 3.5 at the end of Chapter 3, you...Ch. 4 - SOC In problem 3.6, you computed mean and median...Ch. 4 - Compute the standard deviation for the pretest and...Ch. 4 - SOC Labor force participation rates percent...Ch. 4 - SOC Data on several variables measuring overall...Ch. 4 - SOC The price of a gallon of regular gas for 20...Ch. 4 - SOC In problem 3.11, you computed measures of...

Ch. 4 - Per capita expenditures for public transportation...Ch. 4 - a. PA Compute the range, interquartile range, and...Ch. 4 - SOC Listed here are the rates of abortion per...Ch. 4 - SW One of your goals as the new chief...Ch. 4 - You are the governor of the state and must decide...Ch. 4 - At St. Algebra College, the math department ran...Ch. 4 - Compute the standard deviation for both sets of...

Find more solutions based on key concepts

Show solutions The results of a recent study showed that children who routinely drank reduced fat milk (1% or skim) were more ...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Using Parentheses when Differentiating In Exercises 25-30, find the derivative of the function. See Example 6. ...

Calculus: An Applied Approach (MindTap Course List)

Convert the expressions in Exercises 8596 radical form. x1/3y3/2

Finite Mathematics and Applied Calculus (MindTap Course List)

Show that the series (1)n1bn, where bn = 1/n if n is odd and bn = 1/n2 if n is even, is divergent. Why does th...

Multivariable Calculus

Yes or No? If No, give a reason. 9. If the graph of an equation is symmetric with respect to both the x- and y-...

Precalculus: Mathematics for Calculus (Standalone Book)

Evaluate the indefinite integral. x1+x4dx

Single Variable Calculus: Early Transcendentals, Volume I

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. 9+16

Applied Calculus

The graph of a function f is shown. Which graph is an antiderivative of f and why?

Calculus: Early Transcendentals

Approximating Inverse Trigonometric Functions In Exercises 103-106, use a calculator to approximate the value. ...

Calculus: Early Transcendental Functions

One sample has SS=60 and a second sample has SS=48 . a. If n=7 for both samples, find each of the sample varian...

Statistics for The Behavioral Sciences (MindTap Course List)

The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has...

Calculus (MindTap Course List)

Simulation: Coin Toss Use a random-number table to simulate the outcomes of tossing a quarter 25 times. Assume ...

Understanding Basic Statistics

Let X represent the number of individuals who respond to a particular online coupon offer. Suppose that X has a...

Probability and Statistics for Engineering and the Sciences

For Problems 3-11, simplify each numerical expression. (6)3(2)8(4)

Intermediate Algebra

Use the definition of the derivative to find the slope of the tangent line to the graph of the function f(x) = ...

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

The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the plane...

Single Variable Calculus

Air flows through a metal duct at 2200 cubic feet per minute (CFM). Find this airflow in cubic feet per second.

Elementary Technical Mathematics

Show that each of the following statements is an identity by transforming the left side of each one into the ri...

Trigonometry (MindTap Course List)

MNPQ is a parallelogram. Suppose that MQ=12.7, MN=17.9, and mM=1220. Find: a QP c mQ b NP d mP

Elementary Geometry For College Students, 7e

Pinnacle Manufacturing has multiple carrier fire insurance coverage on its plant and equipment in the amount of...

Contemporary Mathematics for Business & Consumers

In Exercises 87 to 90, determine whether the given sets are equal. A=3n+1nWB=3n1nN

Mathematical Excursions (MindTap Course List)

Show that n2n+5 is a prime integer when n=1,2,3,4 but that it is not true that n2n+5 is always a prime integer....

Elements Of Modern Algebra

.

Mathematical Applications for the Management, Life, and Social Sciences

Sketching a Graph In Exercises 6378, sketch the graph of the equation using extrema, intercepts, symmetry, and ...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercise 37-40, write each system of linear equations in the form AX=C.Find A1 and use the result to solve t...

Finite Mathematics for the Managerial, Life, and Social Sciences

Numerical and Graphical Analysis In Exercises 11-16, create a table of values for the function and use the resu...

Calculus of a Single Variable

Sketch the curve and find the area that it encloses. 12. r = 2 cos

Single Variable Calculus: Early Transcendentals

The article Doctors Misdiagnose More Women, Blacks (San Luis Obispo Tribune, April 20, 2000) gave the following...

Introduction To Statistics And Data Analysis

True or False: The function whose graph is given at the right is a probability density function.

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

0
1
π
It does not exist.

Study Guide for Stewart's Multivariable Calculus, 8th

In Exercises 7 to 14, use either Table 11.2 or a calculator to find the sine of the indicated angle to four dec...

Elementary Geometry for College Students

A questionnaire provides 58 Yes, 42 No, and 20 no-opinion answers. a. In the construction of a pie chart, how m...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Identify the general advantages and disadvantages of single-case designs compared to traditional group designs.

Research Methods for the Behavioral Sciences (MindTap Course List)

Define a construct and explain the role that constructs play in theories.

Research Methods for the Behavioral Sciences (MindTap Course List)

Data were collected on the amount spent by 64 customers for lunch at a major Houston restaurant. These data are...

Statistics for Business & Economics, Revised (MindTap Course List)

Using Properties of the DerivativeIn Exercises 25 and 26, use the properties of the derivative to find the foll...

Calculus (MindTap Course List)

In the layout shown, points E, F, and G are tangent points. Determine lengths OA, OB. and OC.

Mathematics For Machine Technology

Evaluating a Surface Integral In Exercises 19-24, evaluate sf(x,y,z)dS f(x,y,z)=x2+y2+z2S:x2+y2=9,0x3,0zx

Multivariable Calculus

Fabricating sheet metal The open tray shown in the illustration is to be manufactured from a 12-by-14-inch rect...

College Algebra (MindTap Course List)

The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The following data shown ...

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

Salaries of Recent College Graduates. The Tippie College of Business obtained the following results on the sala...

Essentials Of Statistics For Business & Economics

The Shroud of Turin, which shows the negative image of the body of a man who appears to have been crucified, is...

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

In 3 and 4, draw pictures of the specified graphs. Graph H has vertex set {v1,v2,v3,v4,v5} and edge set {e1,e2,...

Discrete Mathematics With Applications

Reminder Round all answers to two decimal places unless otherwise indicated. An Investment You have invested mo...

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

In exercises 13-18, a find and b interpret the present value of the given annuity. The annuity in Exercise 2. 2...

Mathematics: A Practical Odyssey

A study is done to determine if students in the California state university system take longer to graduate, on ...

Introductory Statistics