Question

Two sets of data have the same measures of central tendency. Are the data sets the same? Explain.

Answer 1

The data sets could be the same, but not necessarily. It is possible for data sets to differ in their spread but still have the same measures of center. The measures of spread could be different.  

Answer 2

Answer with explanation:

The  Measure of Central Tendency are

1. Mean

2. Median and Quartiles

3. Mode

4. Geometric Mean

5. Harmonic Mean

→When all the five Measure of Dispersion are Same, it means the two data sets have Identical Variate.

→Now consider the two data sets,

A=3,4,4,5

B=1,4,4,7

Both the Data set have , same mean, median, and Mode,which is equal to 4.

→When you will consider, First three as Measure of central tendency ,then it becomes incorrect statement ,that Data Set are same.