Guru

# 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 Q.4

• 0

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

Share

1. 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

• 0