Question

Plssssssssssssssssssssssssss answer this and also explain how u got frequency​

Answer 1

Answer :

Mode marks = 23.125

Step-by-step explanation :

Given data,

  Marks            Number of students

Below 10                  15

Below 20                 45

Below 30                 90

Below 40                 102

Below 50                 120

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Frequency is the number of students scoring in the given class interval.

Class Interval              Frequency

     0 - 10                               15

    10 - 20                     45-15 = 30

    20 - 30                    90-45 = 45

    30 - 40                   102-90 = 12

    40 - 50                  120-102 = 18

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 Maximum frequency = 45

∴ Modal class = 20 - 30

⇒ Mode lies between 20 and 30

lower limit of modal class, l = 20

size of class interval, h = 10

frequency of the modal class, f₁ = 45

frequency of the class preceding the modal class, f₀ = 30

frequency of the class succeeding the modal class, f₂ = 12

$\boxed{\bf Mode=l+(\frac{f_1-f_0}{2f_1-f_0-f_2} )h}$

$Mode=20+(\frac{45-30}{2(45)-30-12} )(10) \\\\ Mode=20+(\frac{15}{90-30-12} )(10) \\\\ Mode=20+(\frac{15}{48} )(10) \\\\ Mode=20+\frac{50}{16} \\\\ Mode=20+\frac{12.5}{4} \\\\ Mode=20+3.125 \\\\ Mode=23.125$

⇒ Mode marks = 23.125

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              HOPE IT HELPS...!