Model marks for a group of 94 students are 54. Ten students got marks between 0-20,thirty students between 40-60,And fourteen students between 80-100. Find out the number of students getting marks between 20-40and60-80,if the maximum marks of the test were 100.
Answers
Answer:
Number of students getting between 20-40 and 60-80 is 16 and 24.
Explanation:
Step 1: Mode = L + (fm−f1)h /2fm−f1−f2
L = Lower limit mode of modal class
fm = Frequency of modal class
f1 = Frequency of class preceding the modal class
h = Size of class interval
f2 = Frequency of class succeeding the modal class
Step 2:Total students = 94
0-20 = 10 students
40-60 = 30 students
80-100 = 14 students
Step 3:Students left = 94 - 10 - 30 - 14 = 40
54 = 40 + (30-x)20 / 2(30)-x-(40-x)
14 = 600 - 20x / 60-x-40+x
14 = 600-20x / 20
280 = 600-20x
20x = 320
x = 16
Number of students getting between 20-40 and 60-80 is 16 and 24.
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