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.

Solution:

We use the basic formulae of statistics such as mean and range to solve the given questions.

Mean marks = Sum of marks / Total number of students

Marks obtained by the group of students = 85, 76, 90, 85, 39, 48, 56, 95, 81, 75

(i) Highest marks obtained by the student = 95, Lowest marks obtained by the student = 39

(ii) Range of the marks obtained  = Highest marks – Lowest marks

= 95 – 39

= 56

(iii) Mean marks = Sum of marks / Total number of students

= (85 + 76 + 90 + 85 + 39 + 48 + 56 + 95 + 81 + 75)/10

= 730/10

= 73

Thus, the mean marks obtained by the group of the students are 73.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 3

Video Solution:

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.

NCERT Solutions Class 7 Maths Chapter 3 Exercise 3.1 Question 6

Summary:

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. (i) Highest marks obtained by the student is 95, Lowest marks obtained by the student is 39, (ii) Range of marks obtained by the students is 56, (iii) Mean marks obtained by the group of the students is 73.

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