Question

what is the median of the data whose mean is 31 and mode is 34?​

Answer 1

Step-by-step explanation:

We know that,

3 median = 2 mean + 1 mode

3 median = 2(31) + 34

3 median = 62 + 34

3 median = 96

$median = \frac{96}{3}$

$\boxed{median = 32}$

Answer 2

${\large{\underline{\red{\text{Given \: :-}}}}}$

• mean = 31
• mode = 34

${\large{\underline{\red{\text{To find :-}}}}}$

• median

${\large{\underline{\red{\text{Solution :-}}}}}$

We have,

mean is 31

mode is 34

We use formula

${\bigstar \: {\underline{\boxed{\red{\text{3 median = 2 mean + mode }}}}}}$

By using,

$\dashrightarrow\sf{3 \: median = 2(31) + 34} \\ \dashrightarrow\sf{3 \: median = 62 + 34 } \: \: \: \: \: \\ \dashrightarrow\sf{3 \: median = 96} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \dashrightarrow\sf{median = 32} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

_______________________________