we’ve decided to create a survey on the population of pet owners in the Bay Area ranging from younger to older generation individuals. Number of pets owned Frequency Relative Frequency Cumulative Frequency 0 20 20/48=0.4167 20 1 14 14/48=0.29167 34 2 11 11/48=0.2292 45 3 3 3/48=0.0625 48 4 0 0/48=0 5 0 0/48=0 5 or more 0 0/48=0 Summarize your data in a chart with columns showing data value, frequency, relative frequency and cumulative relative frequency. ____Answer the following (rounded to 2 decimal places): 1. ?̅= 2. s = 3. First quartile = 4. Median = 5. 70th percentile = What value is 2 standard deviations above the mean? What value is 1.5 standard deviations below the mean? Construct a histogram displaying your data. In complete sentences, describe the shape of your graph. Do you notice any potential outliers? If so, what values are they? Show your work in how you used the potential outlier formula in Chapter 2 (since you have univariate data) to determine whether or not the values might be outliers. Construct a box plot displaying your data. Does the middle 50% of the data appear to be concentrated together or spread apart? Explain how you determined this. Looking at both the histogram and the box plot, discuss the distribution of your data.

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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we’ve decided to create a survey on the population of pet owners in the Bay Area ranging from younger to older generation individuals.

Number of pets owned	Frequency	Relative Frequency	Cumulative Frequency
0	20	20/48=0.4167	20
1	14	14/48=0.29167	34
2	11	11/48=0.2292	45
3	3	3/48=0.0625	48
4	0	0/48=0
5	0	0/48=0
5 or more	0	0/48=0

Summarize your data in a chart with columns showing data value, frequency, relative frequency and cumulative relative frequency. ____Answer the following (rounded to 2 decimal places): 1. ?̅=

2. s =

3. First quartile =

4. Median =

5. 70th percentile =

What value is 2 standard deviations above the mean?

What value is 1.5 standard deviations below the mean?

Construct a histogram displaying your data.

In complete sentences, describe the shape of your graph.

Do you notice any potential outliers? If so, what values are they? Show your work in how you used the potential outlier formula in Chapter 2 (since you have univariate data) to determine whether or not the values might be outliers.

Construct a box plot displaying your data.

Does the middle 50% of the data appear to be concentrated together or spread apart? Explain how you determined this.

Looking at both the histogram and the box plot, discuss the distribution of your data.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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