The marks of 10 students in a certain subject in a class are 20, 19, 50, 48, 50, 36, 35, 50, 40, 40 The mean and mode are respectively as .............

Mean =38.8, Mode = 50

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Mean = 40, Mode= 35

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Mean = 30, Mode= 33

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Mean = 35, Mode= 25

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Solution

The correct option is B Mean =38.8, Mode = 50
$\Rightarrow$ Arranging given numbers in ascending order $19, 20, 35, 36, 40, 40, 48, 50, 50, 50$ .
$\Rightarrow$ Number of observation $= 10$
$\Rightarrow$ $M e a n = \frac{19 + 20 + 35 + 36 + 40 + 40 + 48 + 50 + 50 + 50}{9} = \frac{388}{10} = 38.8$
$∴$ $M e a n = 38.8$
$\Rightarrow$ We can number $50$ occurs maximum times i.e. $3$ times.
$∴$ $M o d e = 50$

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The marks of 10 students in a certain subject in a class are 20, 19, 50, 48, 50, 36, 35, 50, 40, 40 The mean and mode are respectively as .............

The correct option is B Mean =38.8, Mode = 50⇒ Arranging given numbers in ascending order 19,20,35,36,40,40,48,50,50,50.⇒ Number of observation =10⇒ Mean=19+20+35+36+40+40+48+50+50+509=38810=38.8∴ Mean=38.8⇒ We can number 50 occurs maximum times i.e. 3 times.∴ Mode=50