Question

3) For making Histogram, 630 observations were taken. The highest reading is 96.2 gms and the lowest
reading is 93.8 gms. If the least count of balance is 0.2gm, calculate first class interval.​

Answer 1

Answer:

96.2

Step-by-step explanation:

Answer 2

Given:

The number of observations = 630

The highest reading = 96.2g

The lowest reading = 93.8g

The least count of the balance = 0.2g

To Find:

The first class interval

Solution:

In a histogram, the data is grouped under suitable class intervals. These intervals are continuous.

Range of the sample = The highest reading - The lowest reading

= 96.2 - 93.8

= 2.4g

The number of class intervals = √(The number of observations)

= $\sqrt{630}$ ≈ 25

Now interval class width = Range / The number of inetrvals

= 2.4 / 25

=0.09

So the lower limit of the first class interval = Lowest data - Class width

= 93.8 - 0.09 = 93.7

The upper limit of the first class interval = 93.70 + 0.26 = 93.96

Hence, 93.70- 93.96 should be the first-class interval.