Chapter 12: Q13. (page 797)

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: $1, 1, 2, 3, 4, 5, 12$

Short Answer

Expert verified

The mean absolute deviation for the data is $2.57$ .

Step by step solution

Step 1. Find the mean.

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

$\begin{array}{l} \bar{x} = \frac{1 + 1 + 2 + 3 + 4 + 5 + 12}{7} \\ = \frac{28}{7} \\ = 4 \end{array}$

Step 2. Find the sum.

Find the sum of the absolute values of the differences between each value in the set of data and the mean.

$\begin{array}{r} | 1 - 4 | + | 1 - 4 | + | 2 - 4 | + | 3 - 4 | + | 4 - 4 | + | 5 - 4 | + | 12 - 4 | = 3 + 3 + 2 + 1 + 0 + 1 + 8 \\ = 18 \end{array}$

Step 3. Division.

Divide the sum by the number of values in the set of data.

$\frac{18}{7} = 2.57$

Therefore, the mean absolute deviation for the data is $2.57$ .

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!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

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: $1, 1, 2, 3, 4, 5, 12$

Short Answer

Step by step solution

Step 1. Find the mean.

Step 2. Find the sum.

Step 3. Division.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Probability and Statistics

Decision Maths

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

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

Short Answer

Step by step solution

Step 1. Find the mean.

Step 2. Find the sum.

Step 3. Division.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Probability and Statistics

Decision Maths

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

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: $1, 1, 2, 3, 4, 5, 12$