Given: $36.52,$42.30.$39.78. $38.26. $44.39, $49.55
to find: Mean , Median and mode
soluiton:
Since, formula for mean
[tex]=\frac{su\text{m of all terms}}{nu\text{mber of terms}}[/tex]
Here, sum of all terms = 36.52 + 42.30 + 39.78 + 38.26 + 44.39 + 49.55 = 250.8
number of terms = 6
Thus,
[tex]\operatorname{mean}=\frac{250.8}{6}=41.8[/tex]
Hence, mean of phone bill is $41.8
Since, number of terms = 6 which is even
so, median
[tex]=\mleft\lbrace\frac{\frac{n}{2}+(\frac{n}{2}+1)th\text{ term}}{2}\mright\rbrace[/tex]
arranging the terms in ascending order: 36.52 , 38.26, 39.78, 42.30, 44.39, 49.55
Now, median
[tex]\begin{gathered} =\mleft\lbrace\frac{3rd+4th\text{ term}}{2}\mright\rbrace \\ =\frac{39.78+42.30}{2} \\ =41.04 \end{gathered}[/tex]
Hence, median of the phone bill is $41.04
Mode:
Given terms are 36.52 , 38.26, 39.78, 42.30, 44.39, 49.55
If no value or number in the data set appears more than once, then it has no mode
Hence, the phone bill has no mode
