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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 0 1 1 2 2 2 3 2 4 3 5 4 The mean ( ¯ x ) aptitude score

Answer :

Answer:

The mean aptitude score is 3.14.

Step-by-step explanation:

The given frequency table is

Aptitude Score    :     0       1        2         3         4         5

Frequency           :     1         2       2        2         3          4

Formula for Mean

[tex]Mean=\dfrac{\sum f_ix_i}{\sum f_i}[/tex]

First find [tex]\sum f_ix_i\text{ and }\sum f_i[/tex].

[tex]x\quad\quad f_i \quad\quad f_ix_i[/tex]

0             1              0

1              2             2

2             2             4  

3             2             6

4             3            12

5             4            20

Sum  =  14             44

Substitute [tex]\sum f_ix_i=44\text{ and }\sum f_i=14[/tex] in the above formula.

[tex]Mean=\dfrac{44}{14}[/tex]

[tex]Mean\approx 3.14[/tex]

Therefore, the mean aptitude score is 3.14.

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