Organise the following marks in a class assessment, in a tabular form.
4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7
$(i)$. Which number is the highest?
$(ii)$. Which number is the lowest?
$(iii)$. What is the range of the data?
$(iv)$. Find the arithmetic mean.
To do:
We have to organise the given marks in a class assessment, in a tabular form and answer the given questions.
Solution:
The given data is as follows,
4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7
Let's tabulate the data as shown below.
| Marks | Tally Marks | Frequency |
| 1 | | | 1 |
| 2 | || | 2 |
| 3 | | | 1 |
| 4 | ||| | 3 |
| 5 | 卌
| 5 |
| 6 | |||| | 4 |
| 7 | || | 2 |
| 8 | | | 1 |
| 9 | | | 1
|
(i) The highest number is 9.
(ii) The lowest number is 1.
(iii) We know that, Range$=$Highest marks$-$Lowest marks
The range of the data$=$Highest number$-$Lowest number
$=9-1$
$=8$
(iv) Arithmetic mean$=\frac{ \text {Sum of all the marks }}{ \text {Total number of observations }}$
$=\frac{(4+6+7+5+3+5+4+5+2+6+2+5+1+9+6+5+8+4+6+7)}{20}$
$=\frac{100}{20}$
$=5$
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