Answered: The following grouped frequency…

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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Question

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The following grouped frequency distribution table indicates the ages of passengers (in years) on a flight from Johannesburg to Cape Town.

Age Of Passenger (In Years)	Number Of Passengers
15 -< 25	8
25 -< 35	22
35 -< 45	36
45 -< 55	24
55 -< 65	10

	n = 100

Calculate the following, using the appropriate formulae:
Note: ALL calculations must be shown

1. Complete the table below

Age Of Passenger (In Years)

Number Of Passengers

x²

fx²

15 -< 25

25 -< 35

35 -< 45

45 -< 55

55 -< 65

Totals

n = 100

2. The mean. Interpret your answer.
3. The mode. Interpret your answer.
4. The first quartile. Interpret your answer.
5. The 37th Percentile. Interpret your answer.
6. The standard deviation.
The relevant formula must be used and all steps to the answer

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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