data were gathered from two groups and displayed in the histograms. compare the appropriate measures of…

data were gathered from two groups and displayed in the histograms. compare the appropriate measures of center and variability for the two sets of data. data set a: mean = 32.125, median = 63.5, standard deviation = 22.526, iqr = 35.5. data set b: mean = 32.125, median = 31.5, standard deviation = 19.526, iqr = 37.5. data set a has a higher median value of 63.5, and data set b has a greater iqr value of 37.5. data set a has a lower median value of 63.5, and data set b has a smaller iqr value of 37.5. data set a has a lower mean value of 32.125, and data set b has a greater standard deviation value of 19.526. data set a has a higher mean value of 32.125, and data set b has a smaller standard deviation value of 19.526.

data were gathered from two groups and displayed in the histograms. compare the appropriate measures of center and variability for the two sets of data. data set a: mean = 32.125, median = 63.5, standard deviation = 22.526, iqr = 35.5. data set b: mean = 32.125, median = 31.5, standard deviation = 19.526, iqr = 37.5. data set a has a higher median value of 63.5, and data set b has a greater iqr value of 37.5. data set a has a lower median value of 63.5, and data set b has a smaller iqr value of 37.5. data set a has a lower mean value of 32.125, and data set b has a greater standard deviation value of 19.526. data set a has a higher mean value of 32.125, and data set b has a smaller standard deviation value of 19.526.

Answer

Explanation:

Step1: Identify measures of center and variability

Measures of center are mean and median. Variability measures are standard - deviation and IQR.

Step2: Compare means

Data Set A mean = 32.125, Data Set B mean = 33.427. So Data Set B has a higher mean.

Step3: Compare medians

Data Set A median = 63.5, Data Set B median = 31.5. So Data Set A has a higher median.

Step4: Compare standard - deviations

Data Set A standard deviation = 22.526, Data Set B standard deviation = 19.526. So Data Set A has a higher standard deviation.

Step5: Compare IQRs

Data Set A IQR = 35.5, Data Set B IQR = 37.5. So Data Set B has a higher IQR.

Answer:

Data Set A has a higher median value of 63.5, and Data Set B has a greater IQR value of 37.5.