Question

find the mean and mode of the following distribution marks 0-9 10-19 20-29 30-39 40-49 50-59 number of students 4 6 12 6 7 5
FASTER Please ​

Answer 1

$\: \: \boxed{\boxed{\sf{\mapsto \: Firstly \: let \: us \: Understand}}}$

$\mathsf\red{What \: is \: Mean \: ?}$

$\boxed{ \mathbf \blue{mean \: = \: \frac{sum \: of \: terms}{number \: of \: terms} }}$

$\mathsf\red{What \: is \: Mode \: ?}$

$\mathsf{The \: value \: which \: appears \: most \: frequently \: repeated \: in \: a \: data}$

Class - Interevals | No. of students

0 - 9 | 4

10 - 19 | 6

20 - 29 | 12

30 - 39 | 6

40 - 49 | 7

50 - 59 | 5

$\mathsf\red{mean \: = \: \frac{sum \: of \: terms}{number \: of \: terms} }$

$\mathsf{mean \: = \: \frac{4 + 6 + 12 + 6 + 7 + 5}{6} } \\ \\ \mathsf{mean \: = \: \frac{40}{6} } \\ \\ \mathsf{mean \: = \: 6.6}$

$\mathsf\red{mode \: = \: Terms \: repeated \: in \:observation }$

$\mathsf{terms \: in \: observations \: are : \: \: 4 ,6,12,6,7,5} \\ \\ \mathsf{in \: above \: terms \: 6 \: is \: repeated \: two \: times .\: \: \: \: \: \: } \\ \\ \mathsf{ \: so ,\: mode \: = 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }$