Question

Find the median and mode of the following data 6 9 12 15 9 3 6 9 12 6 10 3 6 15 16

Answer 1

mode of this term is 6 ( repeated 4 times )

total terms =15 so median will be 8th number after rearrange

in your term = 9 ( median )

hope it helps

Answer 2

Answer:

The median is $9$ and mode is $6$.

Step-by-step explanation:

Mode: The number that occurs the highest number of times in a data is called mode.

Median: The middle value in a data ordered in ascending order is called median.

Write the given data in ascending order as follows:

3, 3, 6, 6, 6, 6, 9, 9, 9, 10, 12, 12, 15, 15, 16

Notice that the number of observation in the data is $15$.

So, median = $\frac{n+1}{2}$, where $n$ is the number of observation.

⇒ median = $\frac{15+1}{2}$

⇒ median = $\frac{16}{2}$

                 = $8^{th}$ observation

Therefore, $9$ is the median.

Observe that $6$ is the only number that repeats maximum number times, i.e., $4$ times.

Therefore, mode is $6$.

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