Concept explainers
(a)
To Find: The mean, median and mode of the student’s age.
(a)
Answer to Problem 39E
The value of the mean is 19 year and the median is 18 years.
Explanation of Solution
Given:
The given pie chart is shown in Figure 1
Figure 1
The number of students is 200.
Calculation:
Consider the age of the student is X then the table for the frequency distribution of age represented by pie chart.
Table 1
Age, x | Proportion p | Frequency | |
18 | 0.35 | 70 | 1260 |
19 | 0.3 | 60 | 1140 |
20 | 0.14 | 28 | 560 |
21 | 0.2 | 40 | 840 |
37 | 0.01 | 2 | 74 |
Total | 1 | 200 | 387.4 |
The mean is calculated as,
Since, the data is 200 data value so median will be average of 100 th and 101 st then the median is,
The value of the mean is 19 year and the median is 18 years.
(b)
To Find: The outliers and then find the outliers affect the mean, median and the mode.
(b)
Answer to Problem 39E
The age 37 years is the outlier as it is far away from the other observations so the mean pull upwards and the median is unaffected.
Explanation of Solution
Calculation:
Since, the age 37 years is the outlier as it is far away from the other observations so the mean pull upwards and the median is unaffected.
(c)
To Find: The diagram for the new
(c)
Answer to Problem 39E
The updated pie chart is shown in Figure 2
Explanation of Solution
Calculation:
Consider that after one year the age is increased by 1 so the mean is 20.37 years and the median is 20 years and the mode is 18 years.
The updated pie chart is shown in Figure 2
Figure 2
Chapter 11 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education