Question

find the mode of the following data
Class interval frequency
36-38 3
38-40 6
40-42 19
42-44 7
​

Answer 1

$\boxed {\underline {\mathbb {FINAL\:ANSWER:-}}}$

$\boxed {mode=41.04}$

$\boxed {\underline {\mathbb {GIVEN:-}}}$

mode of the following data

Class interval frequency

36-38 3

38-40 6

40-42 19

42-44 7

(whole well organized data is in the pic that i have attached)

$\boxed {\underline {\mathbb {TO\:FIND:-}}}$

mode o the data

$\boxed {\underline {\mathbb {FORMULA\:USED:-}}}$

$Mode = l+ (\frac {\int 1 - \int 0}{2\int 1- \int 0 -\int 2 })h$

$\boxed {\underline {\mathbb {THINGS\:TO\:KNOW:-}}}$

$\int 1 =$ height frequency

$\int 0 =$ frequency before height frequency  

$\int 2 =$ frequency below height frequency

$l =$ lower limit of class marks of height frequency term  

$h =$ size of class interval

$\boxed {\underline {\mathbb {SOLUTION:-}}}$

here,

$\int 1 = 19 \\\int 0 = 6 \\\int 2 = 7 \\ l = 40 \\h = 38-36 \implies 2$

$Mode = l+ (\frac {\int 1 - \int 0}{2\int 1- \int 0 -\int 2 })h$

$Mode=40 +(\frac{19-6}{2 \times 19 -6-7}) \times 2$

$Mode = 40 + (\frac{13}{25}) 2$

$Mode = 40+ \frac{26}{25}$

$Mode = \frac {40 \times 25 + 26 \times 1}{25}$

$Mode = 41.04$

hence $\boxed {mode \implies 41.04}$

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Answer 2

XxAnvayaXx ne accha answer diya hai use brainlist bana do aur use follow kar lo