The ages of Ciara's five cousins are listed below. 12 16 9 16 15 1) Calculate the mean. 2) Fill in the table below: Fill in the differences of each data value from the mean, then the squared differences. (z - 7)* 12 16 16 15 %3D

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question

Please all of them

**Statistical Analysis of Ages**

The ages of Ciara's five cousins are listed below:

- Ages: 12, 16, 9, 16, 15

1) **Calculate the Mean**

   \(\bar{x} = \) [Input box for mean]

2) **Fill in the Table Below:**  
   Fill in the differences of each data value from the mean, then square the differences.

   \[
   \begin{array}{|c|c|c|}
   \hline
   x & x - \bar{x} & (x - \bar{x})^2 \\
   \hline
   12 & & \\
   \hline
   16 & & \\
   \hline
   9 & & \\
   \hline
   16 & & \\
   \hline
   15 & & \\
   \hline
   & & \sum (x - \bar{x})^2 \\
   \hline
   \end{array}
   \]

3) **Calculate the Population Standard Deviation (\(\sigma\))**

   \[
   \sigma = \sqrt{\frac{\sum (x - \bar{x})^2}{N}} = \text{[Input box]}
   \]

*(Please round your answer to two decimal places)*

**Instructions:** Follow the steps to find the mean, calculate the deviations from the mean for each age, square those deviations, and then use the squared differences to calculate the population standard deviation.
Transcribed Image Text:**Statistical Analysis of Ages** The ages of Ciara's five cousins are listed below: - Ages: 12, 16, 9, 16, 15 1) **Calculate the Mean** \(\bar{x} = \) [Input box for mean] 2) **Fill in the Table Below:** Fill in the differences of each data value from the mean, then square the differences. \[ \begin{array}{|c|c|c|} \hline x & x - \bar{x} & (x - \bar{x})^2 \\ \hline 12 & & \\ \hline 16 & & \\ \hline 9 & & \\ \hline 16 & & \\ \hline 15 & & \\ \hline & & \sum (x - \bar{x})^2 \\ \hline \end{array} \] 3) **Calculate the Population Standard Deviation (\(\sigma\))** \[ \sigma = \sqrt{\frac{\sum (x - \bar{x})^2}{N}} = \text{[Input box]} \] *(Please round your answer to two decimal places)* **Instructions:** Follow the steps to find the mean, calculate the deviations from the mean for each age, square those deviations, and then use the squared differences to calculate the population standard deviation.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Algebraic Operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman