Question

answer
the center of data set i is
than the center of data set ii. the spread of data set i is
than the
spread of data set ii.

Explanation:

Step1: Analyze the center of the data sets

The center of a data set in a histogram can be approximated by looking at where the "peak" or the middle - most part of the distribution is. For Data Set I, the peak is around \(76 - 77\). For Data Set II, the peak is around \(78\). So, the center of Data Set I is less than the center of Data Set II.

Step2: Analyze the spread of the data sets

The spread of a data set in a histogram can be thought of as the range of values covered by the data. Data Set I has bars covering a relatively narrower range of values (from approximately \(68\) to \(84\)) compared to Data Set II (from approximately \(68\) to \(88\)). So, the spread of Data Set I is less than the spread of Data Set II.

Answer:

The center of Data Set I is less than the center of Data Set II. The spread of Data Set I is less than the spread of Data Set II.