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 2 1 3 4 4 The mean () 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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.)
Transcribed Image Text: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 ith observation of which is xi and frequency is fi, such that the total number of observations is n = Σ fi, the sample mean is as follows:

Statistics homework question answer, step 1, image 1

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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