Question

Q33. If L = 9, f1-f0 = 15, 2f1-fo-
f2 = 32 and h = 2 then find mode​

Answer 1

Answer:

Step-by-step explanation:MODE:

Mode is that value of the given observation which occurs most frequently.

Mode = l + (f1- f0/2f1- f0 - f2) ×h

l = lower limit of the modal class

h = size of the class intervals

f1 = frequency of the modal class

f0 = frequency of the class preceding the modal class

f2 = frequency of the class succeed in the modal class.

(i) Here the maximum frequency is 28 and the class corresponding to this frequency is 40 - 50 . So the  modal class is 40 - 50.

From the table : l = 40, h = 50 – 40 = 10, f1 = 28, f0 = 12, f2 = 20

Mode = l +[ (f1- f0) / 2f1- f0 - f2)] ×h

= 40 + [(28−12)/ (2 × 28–12−20) ×10

= 40 + [16 / (56 - 32)] × 10

= 40 + 16× 10 / 24

= 40 + 160/ 24

= 40 + 6.67

= 46.67

Hence, the MODE is 46.67