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.

Answers (1)

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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