om the given data
0-20 20-40 40-60 60-80
15
р
18 10
eservations of the data are
5
of mode is 52

1 thought on “om the given data<br />0-20 20-40 40-60 60-80<br />15<br />р<br />18 10<br />eservations of the data are<br />5<br />of mode is 52”

1. Answer:

   Class = 0-20, 20-40, 40-60, 60-80, 80-100

   Frequency = 15, 6, 18, 10, 5

   The maximum class frequency is 18 and the class corresponding to this frequency is 40-60.

   So, the modal class is 40-60.

   Here, lower limit of modal class l= 40

   class size h= 20

   Frequency of the modal class f_{1}=18f

   1

   =18

   Frequency of class preceding the modal class f_{0}=6f

   0

   =6

   Frequency of class succeeding the modal class f_{2}=10f

   2

   =10

   We need to calculate the mode

   Using formula of mode

   Mode =l+(\dfrac{f_{1}-f_{0}}{2f_{1}-f_{0}-f_{2}})\times hMode=l+(

   2f

   1

   −f

   0

   −f

   2

   f

   1

   −f

   0

   )×h

   Put the value into the formula

   Mode=40+(\dfrac{18-6}{2\times18-6-10})\times20Mode=40+(

   2×18−6−10

   18−6

   )×20

   Mode=52Mode=52

   Hence, The mode is 52.

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