The marks (out of 100) obtained by a group of students in a Maths test are 85,76,90,85,39,48,56,95,81 and 75. Find the (i) Highest and the Lowest marks obtained by the students. (ii) Range of the students.
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Step-by-step explanation:
The marks obtained by a group of students are 85, 76, 90, 85, 39, 48, 56, 95, 81, 75. Now, arrange the marks in ascending order. Here, we can see the last marks in the ascending order is 95 and the first marks are 39. Hence, the highest marks are 95 and the lowest marks are 39.
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Answer :
- Highest Mark = 95
- Lowest Mark = 39
- Range = 56
Given :
- Marks obtained by students = 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75.
To find :
- Highest and the Lowest marks obtained by the students.
- Range of the students.
Solution :
⇒ Let's find the Highest and Lowest Marks.
- Here, we can arrange them all in ascending order to find the highest and lowest mark.
→ Marks obtained = 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75.
= 39, 48, 56, 75, 76, 81, 85, 85, 90, and 95.
- Highest Mark = 95
- Lowest Mark = 39
Therefore, the highest mark is 95 and the lowest mark is 39.
⇒ Let's find the Range.
Range = Highest Value - Lowest Value
= 95 - 39
= 56
- Therefore, the range is 56.
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