Question

Mahalaxmi threw a dice $40$ times and noted the number appearing each time as shown below:$1,3,6,6,4,5,1,6,5,3,2,5,1,4,5,3,6,6,5,1,1,2,6,3,5,2,5,5,4,2,5,1,5,2,4,6,1,3,2,5$

Make a table and enter the data using tally marks. Find the number(s) that appeared the maximum number of times.

Answer 1

Step 1: make a tabular form of data using tally marks

To represent the data in tabular form using tally marks , we make three columns,

Column 1: arrange all outcomes of a dice in ascending order.

column 2: Write tally marks.

Column 3: Write the number of times that outcome appear. this column is called frequency.

now, lets make the table

Outcomes	Tally Marks	Frequency
$1$	$\bcancel{\left|\right|\left|\right|}\left|\right|$	$7$
$2$	$\bcancel{\left|\right|\left|\right|}|$	$6$
$3$	$\bcancel{\left|\right|\left|\right|}$	$5$
$4$	$\left|\right|\left|\right|$	$4$
$5$	$\bcancel{\left|\right|\left|\right|}\bcancel{\left|\right|\left|\right|}|$	$11$
$6$	$\bcancel{\left|\right|\left|\right|}\left|\right|$	$7$

Step 2: Finding the number that appear maximum number of times

As from the table in Step 1 , it is clear that the frequency of coming $5$ is maximum among all the outcomes which is $11$.

So, $5$ appear maximum number of times.