/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 43 If a set of test scores has a st... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Problem 43

If a set of test scores has a standard deviation of zero, what does this mean about the scores?

Short Answer

Expert verified
If a set of test scores has a standard deviation of zero, it means that all the test scores are identical.

Step by step solution

01

Understanding Standard Deviation

Standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation means that the values tend to be close to the mean (average) value of the set, while a high standard deviation means that the values are spread out over a wider range.
02

Interpreting a Standard Deviation of Zero

If a set has a standard deviation of zero, it means there is no spread; that is, all the numbers in the set are the same. If every number in the set is identical, then the difference between each number and the mean of the set is zero, so the standard deviation is zero.
03

Applying to Test Scores

In the context of test scores, if the standard deviation is zero, it means that all the test scores in the set are the same. Every student scored the same on the test.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

What is a symmetric histogram?

The scores on a test are normally distributed with a mean of 100 and a standard deviation of 20.Find the score that is \(1 \frac{1}{2}\) standard deviations above the mean.

Find the standard deviation for each group of data items. Round answers to two decimal places. \(7,9,9,15\)

Compute the mean, range, and standard deviation for the data items in each of the three samples. Then describe one way in which the samples are alike and one way in which they are different. Sample A: \(8,10,12,14,16,18,20\) Sample B: \(8,9,10,14,18,19,20\) Sample C: \(8,8,8,14,20,20,20\)

A set of data items is normally distributed with a mean of 400 and a standard deviation of 50. Find the data item in this distribution that corresponds to the given z-score. \(z=3\)
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.