The number of musicians who don't play guitar, who don't play piano and who don't play both are 16, 9 and 2 respectively.
How to read the data from the table?
Table is a way to represent the data of the two or more variable. To read the data from the table look for the value of one variable, and get the resultant value of other variable from the corresponding block.
Forty-two musicians were asked if they play the piano and/or guitar, in which-
- Twenty-six people played the guitar.
- Thirty-three played the piano.
- Nineteen said they played both the piano and the guitar.
The table for the data is given as,
Play piano, Don't play piano Total
Play guitar 19 7 26
Don't play guitar, 14 a c
Total 33 b 42
Now, total number of musicians who play guitar is 26 and there is a total number of musicians are 42. Thus, the number of musicians who do not play guitar is,
[tex]c=42-26\\c=16[/tex]
Similarly, total number of musicians who play piano is 33 and there is a total number of musicians are 42. Thus, the number of musicians who do not play piano is,
[tex]b=42-33\\b=9[/tex]
Here, the total number of musicians who do not play piano are 9 and the musicians who do not play piano but play guitar is 7. Thus, the number of musicians who do not play both are,
[tex]a=9-7\\a=2[/tex]
Hence, now the table can be given as,
Play piano, Don't play piano Total
Play guitar 19 7 26
Don't play guitar, 14 2 16
Total 33 9 42
Thus, the number of musicians who don't play guitar, who don't play piano and who don't play both are 16, 9 and 2 respectively.
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