Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musicalaptitude) to 5 (high musical aptitude). This year's results were:Aptitude ScoreFrequency13134425The mean (x) aptitude score:(Please show your answer to 1 decimal place.)The median aptitude score:The mode aptitude score:(Please separate your answers by ',' in bimodalsituation. Enter DNE if there is no mode.)

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Description: Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musicalaptitude) to 5 (high musical aptitude). This year's results were:Aptitude ScoreFrequency13134425The mean (x) aptitude score:(Please show your an

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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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Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical
aptitude) to 5 (high musical aptitude). This year's results were:
Aptitude Score
Frequency
1
3
1
3
4
4
2
5
The mean (x) aptitude score:
(Please show your answer to 1 decimal place.)
The median aptitude score:
The mode aptitude score:
(Please separate your answers by ',' in bimodal
situation. Enter DNE if there is no mode.)

Expert Solution

Step 1

Introduction:

For a random variable X having k values, the i^th observation of which is x_i and frequency is f_i, such that the total number of observations is n = Σ f_i, the sample mean is as follows:

The median is the middle-most observation in the data set. In this case, as this is a frequency data, the median is the smallest value of x for which, the cumulative frequency exceeds n/2.

The mode is the most frequently-occurring observation in the data set.

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