Question

the marks of 15 students are follows. 38,32,35 ,37,45,50,42,43,40,43,36,43,38,47. find the mean ,median and mode​

Answer 1

$\huge\bold\pink{꧁}$$\sf\underline\blue{ Mean \: :- }$$\huge\bold\pink{꧂}$

✤ Mean = $\frac{Sum~of~observations}{Total~no.~of~observations}$

→ $\frac{38+32+35+37+45+50+42+43+40+43+36+43+38+47}{14}$

→ $\frac{ 569 }{ 14 }$

✤ $\sf\fbox\pink{ Mean \: = \: 40.6 app}$ ✤

$\huge\bold\green{꧁}$$\sf\underline\red{ Median \: :- }$$\huge\bold\green{꧂}$

♡ Ascending order :- 32 , 35 , 36 , 37 , 38 , 38 , 40 , 42 , 43 , 43 , 43 , 45 , 47 , 50

♡ Median = $\frac{ n }{ 2 }$ & $\frac{ n~+~1}{2}$

→ $\frac{14}{2}$ & $\frac{14~+~1}{2}$

→ 7th & 7.5th which is "40"

♡ $\sf\fbox\green{ Median \: = \: 40 }$ ♡

$\huge\bold\purple{꧁}$$\sf\underline\orange{ Mode \: :- }$$\huge\bold\purple{꧂}$

❖ $\sf\fbox\purple{ Mode \: = \: 43 }$

• Because 43 repeated thrice.