Prepare a continuous grouped frequency distribution from the following data: Mid-point Frequency 5 15 25 35 45 4 8 13 12 6 Also find the size of class intervals.

Here, we see that the difference between two mid-points is 15 - 5 i.e., 10 It means the width of the class interval is 10 Let the lower limit of the first class interval be a. Then, its upper limit = a + 10 Now, mid value of the first class interval = 5 Mid value= Lower limit+Upper limit 2 5= a+a+10 2 2a+10=10 =0 So, the first class interval is 0-10. Now, we prepare a continuous grouped frequency distribution table is given below. Mid-point Class interval Frequency 5 15 25 35 45 0-10 10-20 20-30 30-40 40-50 4 8 13 12 6 Hence, the size of the class interval is 10 i.e., 10-0

Prepare a continuous grouped frequency distribution from the foll…

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Question

Prepare a continuous grouped frequency distribution from the following data:

Mid-point	Frequency
$5$ $15$ $25$ $35$ $45$	$4$ $8$ $13$ $12$ $6$

Also find the size of class intervals.

✓

Answer

Here, we see that the difference between two mid-points is $15 - 5$
i.e., $10$ It means the width of the class interval is $10$ Let the lower limit of the first class interval be a.
Then, its upper limit $= a + 10$
Now, mid value of the first class interval $= 5$
$\Rightarrow\text{ Mid value}=\frac{\text{Lower limit}+\text{Upper limit}}{2}$
$\Rightarrow5=\frac{\text{a}+\text{a}+10}{2}$
$\Rightarrow2\text{a}+10=10$
$\Rightarrow\text{a}=0$ So, the first class interval is $0-10.$
Now, we prepare a continuous grouped frequency distribution table is given below.