/*! 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} Q12. Find the mean, variance, and sta... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 12: Q12. (page 797)

Find the mean, variance, and standard deviation to the nearest tenth for each set of data.

10,10,12,14

Short Answer

Expert verified

The mean, variance and standard variation of the given data set is11.5,2.75 and1.658 respectively.

Step by step solution

01

Step 1. Find the mean.

To find the mean, add the numbers and then divide by the number of values in the data set.

x炉=10+10+12+144=464=11.5

02

Step 2. Find the variance.

To find the variance, square the difference between each number and the mean. Then add the squares, and divide by the number of values.

蟽2=(10鈭�11.5)2+(10鈭�11.5)2+(12鈭�11.5)2+(14鈭�11.5)24=(鈭�1.5)2+(鈭�1.5)2+(0.5)2+(2.5)24=2.25+2.25+0.25+6.254=114=2.75

03

Step 3. Find the standard deviation.

To find the standard deviation, take square root of the variance.

蟽2=2.75蟽=2.75鈮�1.658

Therefore, the mean, variance and standard variation of the given data set is11.5,2.75 and1.685 respectively.

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

Malika spins a spinner that is divided into 8 equal sections. Each section is a different color, including blue. What is the probability the spinner lands on the blue section?

SALES Nate is keeping track of how much people spent at the school bookstore in one day. Find the mean absolute deviation for the data to the nearest tenth:1,1,2,3,4,5,12

Identify each sample, and suggest a population from which it was selected. Then classify the sample as simple, stratified, or systematic. Explain your reasoning.

At a popular hamburger restaurant, the manager checks the quality of the burgers every 20 minutes, starting at a randomly selected time.

Find the mean, variance, and standard deviation to the nearest tenth for the set of data.

3, 5, 6, 2, 1, 5

Identify each sample, and suggest a population from which it was selected. Then classify the sample as simple, stratified, or systematic. Explain your reasoning.

At a bridal shower, a sticker was placed on the bottom of three random plates. The guests who receive the starred plates will win a prize.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Geometry

Read Explanation

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.