You belong to two different walking groups. Here is data about each group’s walking in January 2020. Group A Person Minutes Walking in January 2020 YOU 330 B 200 C 300 D 450 E 150 F 500 G 300 H 350 I 600 K 700 Group B Person Minutes Walking in January 2020 YOU 400 X 250 Y 500 Z 450 Q 650 R 600 Answer the following questions based on this data. What was the mean time walking for Group A and for Group B in January? Note: you are finding two mean times. Did YOU exceed or fall below each group mean in January? By what percent? The recommendation is that we exercise 150 minutes per week. For the purposes of this question, make the assumption that January is 4 weeks. The recommendation would then translate to 600 minutes in January. Did YOU exceed or fall below the recommendation in January? By what percent? NOTE: add your walking time from each group in order to answer this question. Let’s suppose you want to draw a pie chart that shows information for the members of each group classified by a rating based on the amount of walking time. [NOTE – you do not have to draw the pie chart] Excellent will be the category for the percentage of group members who walked for 600 or more minutes. Very Good will be the category for the percentage of group members who walked for 500 – 599 minutes. Good will be the category for the percentage of group members who walked for 499 – 400 minutes. Needs Improvement will be the category for the percentage of group members who walked for less than 400 minutes. On which pie chart, the group A pie chart or the group B pie chart, will the excellent category percentage be greater? What is that percentage? On which pie chart will the Needs Improvement category percentage be greater? What is that percentage? One other way to look at the data is by percentiles. What was your percentile rank in each group?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You belong to two different walking groups. Here is data about each group’s walking in January 2020.

Group A

Person	Minutes Walking in January 2020
YOU	330
B	200
C	300
D	450
E	150
F	500
G	300
H	350
I	600
K	700

Group B

Person	Minutes Walking in January 2020
YOU	400
X	250
Y	500
Z	450
Q	650
R	600

Answer the following questions based on this data.

What was the mean time walking for Group A and for Group B in January? Note: you are finding two mean times.

Did YOU exceed or fall below each group mean in January? By what percent?

The recommendation is that we exercise 150 minutes per week. For the purposes of this question, make the assumption that January is 4 weeks. The recommendation would then translate to 600 minutes in January. Did YOU exceed or fall below the recommendation in January? By what percent? NOTE: add your walking time from each group in order to answer this question.

Let’s suppose you want to draw a pie chart that shows information for the members of each group classified by a rating based on the amount of walking time. [NOTE – you do not have to draw the pie chart]

Excellent will be the category for the percentage of group members who walked for 600 or more minutes.

Very Good will be the category for the percentage of group members who walked for 500 – 599 minutes.

Good will be the category for the percentage of group members who walked for 499 – 400 minutes.

Needs Improvement will be the category for the percentage of group members who walked for less than 400 minutes.

On which pie chart, the group A pie chart or the group B pie chart, will the excellent category percentage be greater? What is that percentage?
On which pie chart will the Needs Improvement category percentage be greater? What is that percentage?

One other way to look at the data is by percentiles. What was your percentile rank in each group?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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