Question

question
based on the two data sets represented below, complete the following sentences.

data set g	data set h
75	31
192	22
104	171
55	10

answer attempt 1 out of 2

the mean of data set g is than the mean of data set h. the median of data set g is than the median of data set h.

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Explanation:

Step1: Calculate mean of Data Set G

Sum of Data Set G: \(87 + 75 + 192 + 104 + 55 = 513\)
Mean of G: \(\frac{513}{5} = 102.6\)

Step2: Calculate mean of Data Set H

Sum of Data Set H: \(18 + 31 + 22 + 171 + 10 = 252\)
Mean of H: \(\frac{252}{5} = 50.4\)

Step3: Find median of Data Set G

Sort G: \(55, 75, 87, 104, 192\)
Median (middle term): \(87\)

Step4: Find median of Data Set H

Sort H: \(10, 18, 22, 31, 171\)
Median (middle term): \(22\)

Step5: Compare means and medians

Mean of G (\(102.6\)) > Mean of H (\(50.4\))
Median of G (\(87\)) > Median of H (\(22\))

Answer:

The mean of Data Set G is greater than the mean of Data Set H. The median of Data Set G is greater than the median of Data Set H.