Question

Find the values of the mode when median is given to be 5 and mean is 7.

Answer 1

Mode = 1

Explanation:

Relation between the Central Measures of Tendency

• Mean, Median, and Mode are commonly referred to as the Central Measures of Tendency
• The formula between the three is given by :
• ⇒ Mode = 3Median - 2Mean or Mode + 2Mean = 3Median

Solving

• We know that :

1. Median = 5
2. Mean = 7

Therefore,

• Mode = 3(5) - 2(7)
• Mode = 15 - 14
• Mode = 1

Answer 2

`\qquad\qquad\huge\underline{{\sf Answer}}♨`

We know the relation between mean, Median and mode. that is :

`\qquad \sf  \dashrightarrow \:mode = 3 \: median - 2 \: mean`

now, plug in the values ~

`\qquad \sf  \dashrightarrow \:mode = 3(5) - 2(7)`

`\qquad \sf  \dashrightarrow \:mode = 15 - 14`

`\qquad \sf  \dashrightarrow \:mode = 1`

Hence, value of mode is 1