Question

find the mode for the data items in the given frequency distribution.
score, x | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8
frequency, f | 4 | 4 | 1 | 6 | 7 | 2 | 4 | 6
select the correct choice below and, if necessary, fill in the answer box within your choice.
a. the mode(s) is/are . (use a comma to separate answers as needed.)
b. there is no mode.

Explanation:

Step1: Recall the definition of mode

The mode is the data item with the highest frequency.

Step2: Identify the highest frequency

Looking at the frequency column \(f\): \(4,4,1,6,7,2,4,6\). The highest frequency is \(7\).

Step3: Find the corresponding score \(x\)

The score \(x\) corresponding to the frequency \(7\) is \(5\).

Answer:

A. The mode(s) is/are \(5\)