Question

Find the mode for the following data marks is equals to 20/30 30/40 40/50 50/60 60/70 70/80 number of students 3 7 11 9 6 4

Answer 1

Answer:

46.67

Step-by-step explanation:

To find the mode in this situation .i.e. when the class and frequency is given, we first find the modal class which has the highest frequency.

Here, it is 40-50 with frequency 11.

So

• f1= 11
• f0=7 (frequency preceding f1)
• f2= 9(frequency succeeding f1)
• l = 40 (lower limit of modal class)
• h= 10 (height of classes)

=> mode= l + (f1-f0)/(2 f1-f0-f2)h

=> 40+(11-7)÷(2×11-7-9)×10

=> 40+(4÷6)×10

=> 40+(40÷6)

=> 40+6.67

=>46.67

Hope this helps you.... (◍•ᴗ•◍)❤

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