Question

choosing a measure of center consider the data shown below. 6,8,0,2,2,8,7,8,4,8,6,3,8,2,0,8,2,3,8 which measure of center would best describe a typical value of the data set? why? would be better, because the data distribution is nearly symmetrical skewed neither symmetrical nor skewed click or tap the number line to add a dot.

Explanation:

Step1: Analyze data distribution

First, count the frequency of each number: 0 appears 2 times, 2 appears 3 times, 3 appears 2 times, 4 appears 1 time, 6 appears 2 times, 7 appears 1 time, 8 appears 7 times. Plotting these on a number - line or just observing, we can see that the data is skewed due to the high frequency of 8.

Step2: Choose measure of center

When data is skewed, the median is a better measure of center than the mean because the mean is affected by extreme values (in this case, the repeated 8s). The median represents the middle value when the data is ordered, and is not as influenced by outliers or skewness.

Answer:

Median would be better, because the data distribution is skewed.