Find the mode marks from the following data : marks frequency below 10 15below 20 45below 30 90below 40 102below 50 120?

Marks  Frequency of data
below 10 15
below 20 45
below 30 90
below 40 102
below 50 120

Answers (1)

Given Data

 

 

Marks in Range Form                        Frequency of data
0-10 15
10-20 30
20-30 45
30-40 12
40-50 18

 

Maximum frequency in  given data is 45 lies in 20-30 Marks Range

So, mode surely exist in between 20 & 30

Mode = 20 + 10 	imes frac(45-30)(45-30+45-12)

Mode = 20 + 10 	imes frac(15)(48)

Mode = 20 +3.125

Mode = 23.125

Hence Mode is 23.125

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