Question

if the class marks of a continuous frequency distribution are 12 ,14,16,18....................then find the class interval corresponding to the class marks 16 and 22?

Answer 1

Answer:

it is correxct

Step-by-step explanation:

class interval of class mark 16=15-17

class interval of class mark 22=21-23

Answer 2

Given: If the class marks of a continuous frequency distribution are 12 ,14,16,18..

To find: The class interval corresponding to the class marks 16 and 22.

Solution: The class interval corresponding to the class marks 16 and 22 is 15-17 and 21-23, respectively.

As evident from the frequency distribution, the consecutive frequencies differ by 2. Now, when we need to find the interval of a particular frequency value, first, the difference (which is 2) is divided by 2. Then, the quotient is added and subtracted from the frequency value to find the upper and lower limit of the interval, respectively.

So, the difference divided by 2 is

$\frac{2}{2} = 1$

Now, for the classmark 16, the upper and lower limit is

$16 + 1 = 17$

$16 - 1 = 15$

Thus, the class interval for 16 is [15-17]. Similarly, the class interval for 22 is found.

$22 + 1 = 23$

$22 - 1 = 21$

Thus, the class interval for 22 is [21-23].

Therefore, the class interval corresponding to the class marks 16 and 22 is 15-17 and 21-23, respectively.