Which is the least, the mean, the mode, and the median of the data set? $56;56;56;58;59;60;62;64;64;65;67$

The Mean of the data is calculated by adding all numbers in the data set and then dividing by the number of values in the set.

The Mode is the most frequent number occurring in the data set.

The Median is the mid value of a data set and it is calculated by arranging the data set in ascending order (i.e., least to greatest).

Mean:

As we given in Introduction part, mean is the average of given data set.

i.e.,

$Mean=\frac{Sumofthedataset}{Numberofthedataset}$

$$\begin{gathered} Mean=\frac{56+56+56+58+59+60+62+64+64+65+67}{11} \\ Mean=\frac{667}{11} \\ Mean=61 \end{gathered}$$

Mode:

As described in Introduction part, the most frequent data in the given data set is $56$.

Therefore, mode of the given data set is $56$.

Median:

In the given data set, we have 11 numbers and that are sorted in ascending order (i.e., Least to greatest)

$56;56;56;58;59;60;62;64;64;65;67$

Here in this data set, 6th is in the middle.

Therefore, the value of Median is $60$.

The value of Mode is least when compared to Mean and Median of this particular data set.