Question

How can I Determine the average number of tickets bought per person per show? How can I calculate the median value and how can I Determine the mode?

Answer 1

Given

Frequency table showing number of tickets bought per person

Find

Average number of tickets bought per person per show ; Median Value and Mode.

Explanation

Mean = Average number of tickets bought per person per show =

Total number of obersevation /number of observation.

so ,

Mean =

$\begin{gathered} mean=\frac{1(12)+2(35)+3(44)+4(18)+5(8)+6(3)}{6} \\ \\ mean=\frac{12+70+132+72+40+18}{120} \\ \\ mean=2.86 \end{gathered}$

median value

to find the median value we need to arrange the data in ascending order ,

3 , 8 , 12 , 18 , 35 , 44

cumulative frequency =

there are 6 values , so median

$\frac{120}{6}=20th\text{ value}$

so ,

now , 20th value occurs in the cummulative frequency 47, whose corresponding value is 2.

so median = 2

mode = It is the value that appears most frequently in the set of data values.

from data number 3 is occurs more number of times so , mode = 3

Final Answer

Mean = 2.86

Median - 2

Mode = 3