Question

the data set represents the responses of 15 students who were asked how many text messages they sent. 52, 50, 54, 51, 52, 53, 50, 51, 2, 58, 55, 56, 54, 57, 55 select the correct answer from each drop - down menu. the best measure of center for this data set is the choose..., and its value is choose...

Explanation:

Step1: Identify outlier in data

The data set is [75, 50, 54, 51, 52, 53, 50, 51, 2, 58, 55, 56, 54, 57, 55]. The value 2 is an extreme outlier, far lower than all other values.

Step2: Select best center measure

For data with outliers, the median (resistant to outliers) is better than the mean (skewed by outliers).

Step3: Order data to find median

Ordered data: [2, 50, 50, 51, 51, 52, 53, 54, 54, 55, 55, 56, 57, 58, 75]

Step4: Calculate median position

For n=15 (odd), median is at position $\frac{15+1}{2}=8$th value.

Step5: Find 8th ordered value

The 8th value in the ordered set is 54.

Answer:

The best measure of center for this data set is the median, and its value is 54.