Question

question given the following frequency table of values, is the mean or the median likely to be a better measure of the center of the data set? value frequency 40 5 41 6 42 1 43 2 44 3 45 3 46 0 47 0 48 0 49 0 50 0 51 0 52 0 53 0 54 0 55 0 56 0 57 0 58 0 59 0 60 0 61 0 62 0 63 0 64 0 65 0 66 0 67 0 68 0 69 0 70 1 select the correct answer below: mean median

Explanation:

Step1: Analyze data distribution

The data has a value (70) with a low frequency that is much higher than the other values. This creates a skew.

Step2: Compare mean and median properties

Mean is affected by outliers (skewed data), while median is resistant to skewness. Here, 70 is an outlier (high value with low frequency) skewing the data. So median is better.

Answer:

Median