Chapter 3, Problem 1P

BuyFind*arrow_forward*

10th Edition

Frederick J Gravetter + 1 other

ISBN: 9781305504912

Textbook Problem

Find the mean, median, and mode for the following

sample of scores:

4, 5, 2, 7, 1, 3, 5

To determine

Find the mean, median and mode for the given sample of scores.

Answer

**Solution:**

Explanation

**Given:**

The sample of scores:

5, 4, 5, 2, 7, 1, 3, 5

Here

**Formula used:**

**Calculations:**

To find mean, add all scores and divide the sum by number of scores in the sample.

To find median, first arrange data in ascending order as shown below and then find the middle score.

1 | 2 | 3 | 4 | 5 | 5 | 5 | 7 |

For eight scores, the median would be average of

The mode is most occurred score in the sample. In this sample, 5 occurred most of the times. Therefore:

The mean is the average of scores. To find mean, add all scores and divide the sum by number of scores in the sample.

The median is the middle most score (in case when *n *is odd) or average of two middle scores (in case when *n *is even) when data is arranged from the smallest to the largest score.

**Case 1:**

When *n *is odd:

**Case 2:**

When *n *is even:

The mode is most occurred score in the sample. There can be more than one mode.

**Conclusion:**

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

Essentials Of Statistics

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus (MindTap Course List)

Calculus: Early Transcendental Functions

Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Finite Mathematics and Applied Calculus (MindTap Course List)

Multivariable Calculus

Calculus: An Applied Approach (MindTap Course List)

Calculus: Early Transcendentals

Probability and Statistics for Engineering and the Sciences

Understanding Basic Statistics

Single Variable Calculus

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

Finite Mathematics

Elementary Technical Mathematics

Intermediate Algebra

Mathematical Applications for the Management, Life, and Social Sciences

Elementary Geometry For College Students, 7e

Mathematical Excursions (MindTap Course List)

Trigonometry (MindTap Course List)

Contemporary Mathematics for Business & Consumers

Calculus of a Single Variable

Elements Of Modern Algebra

Single Variable Calculus: Early Transcendentals

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

Elementary Geometry for College Students

Calculus: Early Transcendental Functions (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Study Guide for Stewart's Multivariable Calculus, 8th

Find all the answers to your study problems with bartleby.

Textbook solutions plus Q&A. Get As ASAP *arrow_forward*