Question

The mark distribution of 30 students at science examination in a class is below: Marks : 10-25, 25-40, 40-55, 55-70, 70-85, 85-100 are Number of students : 05, 21, 21, 08, 25, 20. Find the mode of this data.​

Answer 1

Answer:

modal Class is 70-85

L=70,

$f {0} = 8 \: \: \: f1 = 25 \: \: \: \: \: f2 = 20 \: \: \: \: h = 15$

$mode = l + \frac{f1 - f0}{2f1 - f0 - f2} \times h$

$= 70 \ + \frac{17}{22} \times 15$

$= 70 \ + \frac{205}{22} \\ mode= 79.318$

Answer 2

The mode of this data is 81.59

Step-by-step explanation:

here ,

the maximum class frequency is 25 and the corresponding to this frequency is 70-85

so the modal class is 70-85

now,

modal class = 70-85

lower limit (l) = 70

class size (h) =15

frequency (f1) of the modal class = 25

frequency (f0) of class preceding the modal class = 08

frequency (f2) of class succeeding the modal class = 20

then ,

mode = $l+ \frac{f1-f0}{2f1-f0-f2} \times h$

substituting the values we get,

$mode = 70+ \frac{25-8}{2\times 25-8-20}\times 15$

$mode = 70+\frac{17}{22} \times 15$

$mode = 17\times 11.59$

mode = 81.59

hence ,

The mode of this data is 81.59

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