Question

multiple choice 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 23,24,27,28,28,29,32,33 c 23,24,27,28,28,32,39,45

Explanation:

Step1: Recall mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are data - points and $n$ is the number of data - points.

Step2: Calculate mean for set A

For set A: $n = 8$, $\sum_{i=1}^{8}x_{i}=15 + 16+26+28+28+29+30+32=204$, $\bar{x}_A=\frac{204}{8}=25.5$. Since $25.5<28$, set A is not the answer.

Step3: Calculate mean for set B

For set B: $n = 8$, $\sum_{i = 1}^{8}x_{i}=23+24+27+28+28+29+32+33=224$, $\bar{x}_B=\frac{224}{8}=28$. Since $\bar{x}_B = 28$, set B is not the answer.

Step4: Calculate mean for set C

For set C: $n = 8$, $\sum_{i=1}^{8}x_{i}=23+24+27+28+28+32+39+45=246$, $\bar{x}_C=\frac{246}{8}=30.75$. Since $30.75>28$, set C is the answer.

Answer:

C. 23, 24, 27, 28, 28, 32, 39, 45