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The following table represents the marks secured by 90 students of class [tex]$X$[/tex] in an examination with a full score of 75.

[tex]\[
\begin{array}{l|c|c|c|c|c|c|}
\text{Marks} & 20-30 & 30-40 & 40-50 & 50-60 & 60-70 & 70-80 \\
\text{Frequency} & 5 & 3 & 12 & 2 & 6 & 2 \\
\end{array}
\][/tex]

Find the range of the data.



Answer :

GinnyAnswer
To determine the range of the data expressed in the table, follow these steps:

1. Identify the Mark Ranges:
The mark ranges given are:
- 20-30
- 30-40
- 40-50
- 50-60
- 60-70
- 70-80

2. Identify the Lowest and Highest Marks:
- The lowest mark of the first range is 20.
- The highest mark of the last range is 80.

3. Calculate the Range of the Data:
The range is found by subtracting the lowest mark from the highest mark.
[tex]\[ \text{Range} = \text{Highest mark} - \text{Lowest mark} \][/tex]
Substituting the values:
[tex]\[ \text{Range} = 80 - 20 \][/tex]
[tex]\[ \text{Range} = 60 \][/tex]

Therefore, the range of the data is 60.