Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Q. 2.32 (page 113)

On a baseball team, the ages of each of the players are as follows:

21;21;22;23;24;24;25;25;28;29;29;31;32;33;33;34;35;36;36;36;36;38;38;38;40

Use your calculator or computer to find the mean and standard deviation. Then find the value that is two standard deviations above the mean.

Short Answer

Expert verified

Sample mean=30.68,Sample standard deviation=6.09,(x¯+2×s)=42.86

Step by step solution

01

Introduction

The mean is one of the measurements of central tendency in statistics. It's calculated by dividing the total number of observations by the number of observations.
One of the metrics of dispersion is the standard deviation. It's a metric for how far data values deviate from the mean.
02

Explanation

1. Clear list L1: Press STAT and then scroll down to 4:ClrList. Enter 2nd 1for L1

2. Enter data into the list editor: Press STAT and then scroll down to 1: EDIT and Enter.

Put the data values into list L1

(21,21,22,23,24,24,25,25,28,29,29,31,32,33,33,34,35,36,36,36,36,38,38,38,40)

3. Press STAT and scroll right to CALC. Press 1:1-VarStats and Press Enter.

4. The output will contain various statistics, but we just need to check the x¯=30.68(mean) and Sx=6.09(standard deviation)

Now to find the two standard deviations above the mean, we need to use the below formula:

x¯+2×s=30.68+2×6.09=30.68+12.18=42.86

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

The data are daily high temperatures in a town for one month. 61,61,62,64,66,67,67,67,68,69,70,70,70,71,71,72,74,74,74,75,75,75,76,76,77,78,78,79,79,95

For the following 11salaries, calculate the IQR and determine if any salaries are outliers. The salaries are in

dollars.
role="math" localid="1647875427889" \(33,000;\)64,500;\(28,000;\)54,000;\(72,000;\)68,500;\(69,000;\)42,000;\(54,000;\)120,000;$40,500

The following data are the number of pages in 40 books on a shelf. Construct a box plot using a graphing

calculator, and state the interquartile range.

136;140;178;190;205;215;217;218;232;234;240;255;270;275;290;301;303;315;317;318;326;333;343;

349;360;369;377;388;391;392;398;400;402;405;408;422;429;450;475;512

What does the relative frequency column in Table 2.42 sum to? Why?

The table shows the number of wins and losses the Atlanta Hawks have had in 42seasons. Create a side-by-side stem-and-leaf plot of these wins and losses.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

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.

Sign-up for free