Question

each ordered data set below has a median of 28. which data set has a mean that is greater than the median? press to hear a reminder or hint for this problem. only one of the data sets has a mean greater than 28. use the maximum value of each set to determine which set you should test first. a 15, 16, 26, 28, 28, 29, 30, 32 b 23, 24, 27, 28, 28, 32, 39, 45 c 23, 24, 27, 28, 28, 29, 32, 33

Explanation:

Step1: Calculate the mean of data set A

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). For data set A: \(n = 8\), \(\sum_{i=1}^{8}x_{i}=15 + 16+26+28+28+29+30+32=204\). Then \(\bar{x}_A=\frac{204}{8}=25.5\)

Step2: Calculate the mean of data set B

For data set B: \(n = 8\), \(\sum_{i = 1}^{8}x_{i}=23+24 + 27+28+28+32+39+45=246\). Then \(\bar{x}_B=\frac{246}{8}=30.75\)

Step3: Calculate the mean of data set C

For data set C: \(n = 8\), \(\sum_{i=1}^{8}x_{i}=23+24+27+28+28+29+32+33=224\). Then \(\bar{x}_C=\frac{224}{8}=28\)

Answer:

B. \(23,24,27,28,28,32,39,45\)