Question

The mean phone bill is $______The median phone bill is $______Determine the mode phone bill. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

Answer 1

Given: $36.52,$42.30.$39.78. $38.26. $44.39, $49.55

to find: Mean , Median and mode

soluiton:

Since, formula for mean

`=\frac{su\text{m of all terms}}{nu\text{mber of terms}}`

Here, sum of all terms = 36.52 + 42.30 + 39.78 + 38.26 + 44.39 + 49.55 = 250.8

number of terms = 6

Thus,

Hence, mean of phone bill is $41.8

Since, number of terms = 6 which is even

so, median

`=\mleft\lbrace\frac{(n)/(2)+((n)/(2)+1)th\text{ term}}{2}\mright\rbrace`

arranging the terms in ascending order: 36.52 , 38.26, 39.78, 42.30, 44.39, 49.55

Now, median

`\begin{gathered} =\mleft\lbrace\frac{3rd+4th\text{ term}}{2}\mright\rbrace \\ =(39.78+42.30)/(2) \\ =41.04 \end{gathered}`

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