Question

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer. the best basketball player on a college team kept track of the number of baskets she made in her last eight games. 11 15 19 12 11 16 11 17 calculate the mean, median, range, and midrange of the number of baskets she made in her last eight games. mean, 15; median, 14; range, 13.5; midrange, 8 mean, 13.5; median, 8; range, 15; midrange, 14 mean, 8; median, 15; range, 14; midrange, 13.5 mean, 14; median, 13.5; range, 8; midrange, 15

Explanation:

Step1: Sort the data

Sort the number of baskets \(11,15,19,12,11,16,11,17\) in ascending order: \(11,11,11,12,15,16,17,19\)

Step2: Calculate the mean

The mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(n = 8\) and \(\sum_{i=1}^{8}x_{i}=11 + 11+11+12+15+16+17+19=112\). So \(\bar{x}=\frac{112}{8}=14\)

Step3: Calculate the median

Since \(n = 8\) (even), the median \(M=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}\). Here \(x_{4}=12\) and \(x_{5}=15\), so \(M=\frac{12 + 15}{2}=13.5\)

Step4: Calculate the range

The range \(R=\text{Max}-\text{Min}\). Here \(\text{Max}=19\) and \(\text{Min}=11\), so \(R=19 - 11=8\)

Step5: Calculate the mid - range

The mid - range \(MR=\frac{\text{Max}+\text{Min}}{2}=\frac{19+11}{2}=15\)

Answer:

Mean, 14; Median, 13.5; Range, 8; Midrange, 15 (the fourth option)