How i solve the problem of question no. 4 of statistics chapter of class 10th ncert of exercise 14.2, give me the solution of this question because it is very important for class 10th, The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India. Find the mode and mean of this data. Interpret the two measures
Given data:
Modal class = 30 – 35,
l = 30,
Class width (h) = 5,
fm = 10, f1 = 9 and f2 = 3
Mode Formula:
Mode = l+ [(fm-f1)/(2fm-f1-f2)]×h
Substitute the values in the given formula
Mode = 30+((10-9)/(20-9-3))×5
Mode = 30+(5/8) = 30+0.625
Mode = 30.625
Therefore, the mode of the given data = 30.625
Calculation of mean:
Find the midpoint using the formula, xi =(upper limit +lower limit)/2
Mean = x̄ = ∑fixi /∑fi
= 1022.5/35
= 29.2
Therefore, mean = 29.2