Question

2. Organise the following marks in a class assessment, in a tabular form. 4, 6, 7, 5, 3, 5, 4, 5, 2, 6, 2, 5, 1, 9, 6, 5, 8, 4, 6, 7 (i) Which number is the highest? (ii) Which number is the lowest? (iii) What is the range of the data? (iv) Find the arithmetic mean.

Answer 1

Highest is 9
Lowest is 1
Range is 8 and
Mean is 5

Answer 2

Answer:

First, we have to arrange the given marks in ascending order.

= 1, 2, 2, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9

Number                                                          Frequency

1                                                                             1

2                                                                             2

3                                                                             1

4                                                                             3

5                                                                             5

6                                                                             4

7                                                                             2

8                                                                             1

9                                                                             1

(i) By observing the table clearly, the highest number among the given data is 9.

(ii) By observing the table clearly, the lowest number among the given data is 1.

(iii) We know that, Range = Highest value – Lowest value

= 9 – 1

= 8

(iv) Now we have to calculate Arithmetic Mean,

Arithmetic mean = (Sum of all observations)/ (Total number of observation)

Then,

Sum of all observation = 1 + 2 + 2 + 3 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 7 + 8 + 9

= 100

Total Number of Observation = 20

Arithmetic mean = (100/20)

= 5