Question

draw a more than type ogive curve for the given data class interval 10-15, 15-20, 20-25, 25-30, 30-35, frequency 11, 25, 12, 5, 2​

Answer 1

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

$\boxed {16.03}$

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

data class interval 10-15, 15-20, 20-25, 25-30, 30-35, frequency 11, 25, 12, 5, 2​

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

Mode of the following data (whole organized data is in the pic that i have attached)

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

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

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

= height frequency

$fo$=frequency above height frequency  

= frequency below height frequency

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

$h$= size of class interval  

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

here,

$\int 1 = 25 \\\int 0 = 11\\\int 2 = 12 \\ l = 15 \\h = 15-10 \implies 5$

$Mode = l+ (\frac {\int 1 - \int 0}{2\int 1- \int 0 -\int 2 })h\\Mode=15 +(\frac{25-11}{2 \times 25 -11-12}) \times 5\\Mode = 15 + (\frac{14}{27}) 2\\Mode = 15 + \frac{28}{27}\\Mode = \frac {15 \times 27 + 28 \times 1}{27}\\Mode = \frac{433}{27}\\Mode= 16.03$

Mode of the data $\boxed{ \implies 16.03}$

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