Question

The scores of team A and team B in $6$ games are represented as below:


Choose the correct following options.

• A. The data set of team A is bimodal, while that of team B is trimodal.
• B. The data set of team A has no mode, while that of team B has one mode.
• C. The data set of team A and team B has mode 99.
• D. The data set of team B has mode 78.

Answer 1

Answer: (B), (D)

The data set of team B has mode 78.

When all the values in the data set occur for the same number of times, then the data set is said to have no mode.
Whereas, if the data set has two modes, it is said to be bimodal and the data set with three modes is said to be trimodal.

Observe the data set of team A.


Here, all the values in the data set occur for the equal number of times, thus the data set is said to have no mode.

Now, observe the data set of team B.


Here, the value $78$ occurs most frequently, therefore the mode of this data set is $78$.

Hence, it can be concluded that the data set of team A has no mode, while the data set of team B has one mode with value $78$.