Given median $= 15,$ mean $= 10$ . Find mode.

25

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35

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45

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55

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Solution

The correct option is A $25$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

Given that $m e a n = 10$ and $m e d i a n = 15$

Therefore, $m o d e = 3 (15) - 2 (10)$

$⟹ m o d e = 45 - 20 = 25$

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Similar questions

Q. Find the mode of

15, 25, 35, 45, 55, 65

Q. Calculate the median from the following data

Rent (in Rs)	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$	$65 - 75$	$75 - 85$	$85 - 95$
No. of Houses	$8$	$10$	$15$	$25$	$40$	$20$	$15$	$7$

Find the mean of the following data, using step-deviation method:
$\begin{matrix} Class & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 & 55 - 65 & 65 - 75 Frequency & 6 & 10 & 16 & 15 & 24 & 8 & 7 \end{matrix}$

Calculate mean deviation using median and coefficient of mean deviation :

$\begin{matrix} Class Intervals & 5 - 15 & 15 - 25 & 25 - 35 & 35 - 45 & 45 - 55 F r e q u e n c y & 5 & 4 & 5 & 4 & 2 \end{matrix}$

From the following data identify the median class $:$

Time(hour)	$5 - 15$	$15 - 25$	$25 - 35$	$35 - 45$	$45 - 55$	$55 - 65$
Frequency	$20$	$28$	$17$	$12$	$6$	$17$

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Given median =15, mean=10. Find mode.

The correct option is A 25We know that mode=3median−2meanGiven that mean=10 and median=15Therefore, mode=3(15)−2(10)⟹mode=45−20=25

Given median $= 15,$ mean $= 10$ . Find mode.

The correct option is A $25$
We know that $m o d e = 3 m e d i a n - 2 m e a n$

Given that $m e a n = 10$ and $m e d i a n = 15$

Therefore, $m o d e = 3 (15) - 2 (10)$

$⟹ m o d e = 45 - 20 = 25$