Chapter 8.GRT, Problem 20GRT

To determine

To choose:

The match for equal number of modes with the correct data set.

Solution:

The data sets A and B have equal number of modes, which is $2$.

Given:

Explanation:

The given data set is,

A. $10,20,30,30,40,50$

B. $9,11,11,30,48$

C. $20,25,30,35,40$

D. $50,55,60,65,70$

Calculation:

To find the mode has the greatest frequency in the given list.

For data set A: $10,20,30,30,40,50$:

The number $30$ occurs two times.

$\text{mode}\text{A}=30$

For data set B: $9,11,11,30,48$:

The number $11$ occurs two times.

$\text{mode}\text{B}=11$

For data set C: $20,25,30,35,40$:

The mode does not exist because there is no item with greatest frequency.

For data set D: $50,55,60,65,70$:

The mode does not exist because there is no item with greatest frequency.

The data sets A and B have equal number of modes as both $30$ and $11$ occur twice.

Conclusion:

Thus, the data sets A and B have equal number of modes, which is $2$.