The data set gives the number of hours it took each of the 10 students in a cooking class to master a particular technique. Which of the numbers below is the best measure of the central tendency of the data?

{3, 3, 4, 4, 4, 5, 5, 5, 5, 30}

Verified Answer :

For this data set:
Mean:  (3+3+4+4+4+5+5+5+5+30) : 10 = 6.8
Mode : 5
Median : (4+5) : 2 =4.5
In this case, the mean is not the best way to show central tendency.
The median is less affected by outliers and skewed data.
Answer: The best measure for the central tendency is the median:  4.5 

\(3, 3, 4, 4, 4, 5, 5, 5, 5, 30\)

\(\left[\begin{array}{ccc}Q1&--\\Mean&6.8\\Median&4.5&Correct\\Range&27\end{array}\right]\)

First Quartile:

\(\left[\begin{array}{ccc}3|3\\4|4\\4|5\\5|5\\5|30\end{array}\right]\)

\(NotApplicable\)

Mean:

\(3, 3, 4, 4, 4, 5, 5, 5, 5, 30\)

\(3^{2}+4^{3}+5^{4}+30\)

\(\left[\begin{array}{ccc}\frac{68}{10}\end{array}\right]\)

\(6.8\)

Median:

\(\left[\begin{array}{ccc}3, 3, 4, 4, 4, 5, 5, 5, 5, 30\end{array}\right]\)

Process Of Elimination

\(4, 5\)

Can't Split up Whole Numbers Any More Than They Are Already So Answer Is

\(4.5\)

Range:

\(3, 3, 4, 4, 4, 5, 5, 5, 5, 30\)

\(30-3\)

\(27\)