Question

19) If the mode of a distribution is 8 its mean is also 8 , find the median​

Answer 1

Answer:

• Median = 8

Step-by-step explanation:

Formula to be used:

• 3 Median - 2 Mean = Mode

According to the question,

• Mode = 8
• Mean = 8
• Median = ?

Substituting in the formula we get:

→ 3 Median = 2 Mean + Mode

→ 3 (x) = 2 (8) + 8

→ 3x = 16 + 8 = 24

→ x = 24/3

→ x = 8

Hence the median of the given distribution is also equal to 8.

Answer 2

↪Given :

• Mode = 8
• Mean = 8

↪To Find :

• The median.

↪ Some information :

• Mode : बहुलक
• Mean : माध्य
• Median : माध्यिका

❇Solution :-

$: \implies \sf Median = \dfrac{ Mode + 2(Mean)}{3}$

$: \implies \sf Median = \dfrac{8 + 2(8)}{3}$

$:\implies \sf Median = \dfrac{ 8 + 16}{3}$

$:\implies \sf Median = \cancel{\dfrac{ 24}{3}}$

$:\implies \sf \underline{ \huge{ \boxed{ \red{\bf{Median = 8}}}}}$

$\huge{\therefore}$The median is 8.

¤ Another Formula For Finding Median :

$\bigstar {\boxed {\mathfrak{\pink{M =(\dfrac {n+1}{2})\:th\:term}}}}\bigstar$

$\bigstar{\boxed{\mathfrak{\pink{M =\dfrac {n}{2}th\:and\:(\dfrac {n}{2}+1)\:th\:term 's\:mean}}}}\bigstar$

$\bigstar{\boxed{\mathfrak{\pink{M=l + \dfrac{ \dfrac{n}{2} -F }{f} \times i}}}}\bigstar$