Answer:
Mean.
Step-by-step explanation:
We have been given a data set and we are asked to find the measure of central tendency that is least representative of the data set.
Data set: 1, 35, 36, 37, 37, 38.
We can see from our given data set that 1 is an outlier for our given data set. Since 1 is very less than other data points, when we will find the mean of our given data it will be less than median.
Median of our given data set will be: [tex]\frac{36+37}{2}=\frac{73}{2}=36.5[/tex].
[tex]\text{Mean}=\frac{1+35+36+37+37+38}{6}=\frac{184}{6}=30.67[/tex]
Mode = 37
We can see that median and mode of our data set are approximately equal. As mean is affected by an outlier in a data set, therefore, mean will be the least representative of measure of central tendency of the given data set.
