Answered: e stem and leaf below show the amount…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 74E

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Question

The stem and leaf below show the amount of magnesium found in a brand of bottled
water in milligrams.
Exhibit 1

Stem-and-Leaf Display: Amount of Magnesium
Leaf Unit = 0.1 N = a

3 1 345
11 2 00278888
(13) 3 0113334577899
b 4 122245777
12 5 23344
7 6 11237
2 7 45

ii. Find the value of a and b

iii. What is the largest value in the dataset?

iv. What the is median of the data displayed?

v. What is the mode of the distribution?

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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