The first quartile of the following data is given to be 21.5 marks. Marks: 10-15 15-20 20-25 25-30 30-35 35-40 40-45 45-50 Frequency: 24? 90 122? 56 20 33
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Answer:
Highest value (H)= 35
Lowest value (L) = 15
Range= Highest value − Lowest value
i.e. R= H− L
Substituting the given values in the formula
R= 35 − 15= 20
Coefficient of Range is as follows:
CR =
H-L
H+L
or, CR =
35-15
35+15
=
20
50
⇒ CR =0.4
Hence, the range (R) of the above data is 20 and coefficient of Range (CR) is 0.4
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