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.

Here,

According to the question,

At first,

We will arrange the data in the ascending order

Thus,

The marks obtained by the group of students in a science test can be arranged in an ascending order as follows:

39, 48, 56, 75, 76, 81, 85, 85, 90, 95

(i) Now,

As per the question,

Here,

We have to find the following two things,

The highest marks obtained in Science

And,

The lowest marks obtained in Science

Hence,

We can observe that,

Highest marks = 95

Lowest marks = 39

(ii) Now,

We have to find the range of the given data.

And,

We know that,

Range = Highest value – Lowest value

Hence,

Range of the given data can be calculated as follows:

Range = highest number – lowest number

= 95 – 39

= 56

(iii) Here,

We have to find the arithmetic mean of the given data

Now,

At first,

We’ll find the sum of all the observations

Thus,

Sum of all the observations = 85 + 76 + 90 + 85 + 39 + 48 + 56 + 95 + 81 + 75

= 730

Now,

Total number of observations = 10

Hence,

Arithmetic mean =

=

= 73

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