nalyzing Distributions What type of data set (categorical or quantitative) do we examine t consider computations like mean, median, and standard deviation? For the data sets (from the above four) which are this type of data, distri
nalyzing Distributions What type of data set (categorical or quantitative) do we examine t consider computations like mean, median, and standard deviation? For the data sets (from the above four) which are this type of data, distri
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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Transcribed Image Text:ek 1 Collaborative SMP Assic X
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Analyzing Distributions
• What type of data set (categorical or quantitative) do we examine the shape of the distribution, and
consider computations like mean, median, and standard deviation? Why?
For the data sets (from the above four) which are this type of data, examine the shape of the
distribution.
• Describe the shape of the distribution using the vocabulary in the unit.
• What do you predict about the relationship between the mean and median, given the shape of the
distribution? Will they be very close together, or will one be significantly larger, and why?
• What do you predict about the standard deviation? Will it be relatively large, or relatively small, and
why?
Compute the mean, median, and standard deviation of each data set for which it is appropriate. (You
can use technology for the mean and standard deviation, but please find the median without
technology and explain how you do so.)
Describe how the results are related to the shape of the distribution. Which measures communicate
more information about each set of data?
Find the interquartile range for the data sets for which it is appropriate.
. Use this to determine if there are any outliers.
.
If there are outliers, discard them, and then compute the mean, median, and standard deviation for
the new data set without the outliers.
• Describe your observation of what changes and what doesn't change, and why.
▸
Transcribed Image Text:1. The full-time employees of a local company are considering using collective bargaining to improve their
wages. The following table shows the monthly wages of everyone at the company, including the owner
and his two best friends, who supervise the workers:
$2100 $2400
$6700 $9100
Monthly
Wages
Number of
Employees
2. In Seattle, an average of 150 days per year are rainy days.
3. Osman plants 50 bean seeds and observes how many days it takes for each to germinate. He records
that 2 emerged on Day 4, 13 on Day 5, 21 on Day 6, 9 on Day 7, 3 on Day 8, and 1 on Day 9. One never
sprouted.
Number
who
Prefer It
12
5
4. Karina wants to have a pizza party, so she surveys her friends about what type of pizza they like best.
She records the responses in this table:
Type of
Pepperoni Cheese Veggie Supreme
Pizza
3
1. Bar graph
2. Histogram
2
Graphical Displays
2
1
4
1
Different types of graphical displays are appropriate for communicating categorical data versus quantitative
data. Determine which of the following types of data displays are more appropriate for each type of data
(categorical or quantitative), and explain why for each:
Expert Solution
Step 1
| Monthly Wages | ₹ 2,100.00 | ₹ 2,400.00 | ₹ 6,700.00 | ₹ 9,100.00 |
| No. of Employees | 12 | 5 | 2 | 1 |
| Average rainy days | 150 |
| Day | Infinity | 4 | 5 | 6 | 7 | 8 | 9 |
| No. of plants | 1 | 2 | 13 | 21 | 9 | 3 | 1 |
| Type of Pizza | Pepperoni | Cheese | Veggie | Supreme |
| No. who prefer it | 3 | 2 | 4 | 1 |
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