Question

The class marks of the distribution are 37, 42, 47, 52, 57. Determine the class size and the class limits of one last class mark.​

Answer 1

Answer:

class mark=5.

class limits=54.5-59.5

Step-by-step explanation:

Given: class marks= 37,42,47,52 and 57

class size= difference between two consecutive class marks=42-37=5.

let lower limit of the last class interval='a'.

then, upper limit = a+5.

class mark = average of upper and lower limits of the class interval.

57=(a+a+5)/2,

2a+5=57×2=114,

2a=114-5=109,

a=109/2=54.5.

therefore lower limit = a = 54.5,

and upper limit = a+6 = 54.5+5 = 59.5