Question

In the following set, which measure of central tendency would probably be the most accurate representation of the data? 11, 11, 18, 32, 34, 115

Answer 1

Mode: 11

Median: 25

Mean: 36.8

Median would be most accurate because out of mode, median, and mean, median is closer to all of the numbers than mode and mean

Answer 2

Answer:

Median would probably give the most accurate representation

Median = 25

Step-by-step explanation:

The three main measures of central tendency are mean, mode and median.

The mean is the sum of all terms divided by the number of terms:

$Mean = \frac{x11+11+18+32+34+115}{6} = 36.83$

Since there is a large deviation within the values in the data set, the mean is not an accurate representative fot this case.

The mode is value that appears the most in a data set. The mode in this problem is 11; this value doesn't appear enough in the data set for it to be considered an accurate representation of the data.

The median is the central value of the set; since there is an even number of values, the median will be the average of the 2 central values:

$Median = \frac{18+32}{2} =25$

When compared to the other measures, the median is the one with the lesser deviation from all values within the set and, therefore, would probably give the most accurate representation.