Question

based on the two data sets represented below, complete the following sentences. data set p data set q answer attempt 1 out of 2 the median of data set p is than the median of data set q. the maximum of data set p is than the maximum of data set q.

Explanation:

Step1: Count the number of data points

For Data Set P: \(4 + 2+7 + 3+4 + 4+2=26\) data points. For Data Set Q: \(1+3 + 5+4+1 + 5+2+3=24\) data points.

Step2: Find the median

For Data Set P (26 data points, median is average of 13th and 14th values). Cumulative counts: \(4\) (for \(12\)), \(4 + 2=6\) (for \(13\)), \(6+7 = 13\) (at \(14\)). So 13th and 14th values are \(14\). Median of P is \(14\).
For Data Set Q (24 data points, median is average of 12th and 13th values). Cumulative counts: \(1\) (for \(11\)), \(1+3 = 4\) (for \(12\)), \(4+5 = 9\) (for \(13\)), \(9 + 4=13\) (at \(14\)). 12th and 13th values are \(14\). Median of Q is \(14\).

Step3: Find the maximum

Maximum of Data Set P is \(18\). Maximum of Data Set Q is \(19\).

Answer:

The median of Data Set P is equal than the median of Data Set Q. The maximum of Data Set P is less than the maximum of Data Set Q.