Question

Which of the following statements about central tendency is most correct. a) the calculation of the mean includes every value in your data b) the median is not influenced by a single outlier in large datasets c) the mode can be multiple values d) all of the above are correct

Answer 1

Option D) all of the above are correct

Explanation:

We have to find the statements that is true about the central tendency.

a) the calculation of the mean includes every value in your data

The given statement is true.

`Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}`

b) the median is not influenced by a single outlier in large data sets

The above statement is true as the median is less liable to be distorted by outliers. The median is the mid value of data that divides the data in two equal parts.

`Median:\\\text{If n is odd, then}\\\\Median = \displaystyle(n+1)/(2)th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle((n)/(2)th~term + ((n)/(2)+1)th~term)/(2)`

c) the mode can be multiple values

The above statement is true as mode is the most frequent value in the data and there can be more than 1 mode.

Thus, allthe statements are true.