# 6. The marks (out of 100) obtained by a group of students in a science 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 marks obtained.      (iii) Mean marks obtained by the group.

Given,

Marks obtained the students = $85, 76, 90, 85, 39, 48, 56, 95, 81, 75$

Arranging in ascending order = $39, 48, 56, 75, 76, 81, 85, 85, 90, 95$

(i) Highest marks obtained = $95$

Lowest marks obtained = $39$

(ii) Range of marks = Highest marks - Lowest marks

$= 95- 39 = 56$

(iii) We know, Arithmetic mean

$=\frac{sum\ of\ observations}{number\ of\ observation}$

$\\ = \frac{39+ 48+ 56+ 75+ 76+ 81+ 85+ 85+ 90+ 95}{10} \\ = \frac{730}{10} \\ \\ = 73$

Therefore, mean marks = $73$

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