Question

Which measure of central tendency is least appropriate for describing the given data set?

6, 6, 6, 7, 8, 8, 29

mode
median
mean

Answer 1

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

6, 6, 6, 7, 8, 8, 29

We will calculate the measures of central tendency:

1) Mode - the most occurring element in the data set.

So, Mode = 6

2) Median - the middle value of organised data set

So, Median = 7

3) Mean - the average of all data set

So, Mean = $\dfrac{6+6+6+7+8+8+29}{7}=\dfrac{70}{7}=10$

So, we can see that Mode and Median are giving the closest value to each other, whereas Mean is giving the farthest value as compared to rest.

Hence, Mean is the least appropriate for describing the given data set.

Thus, Third option is correct.