Thomas records the masses of several rocks as [tex]$7.40 \, \text{g}$, [tex]$7.85 \, \text{g}$[/tex], [tex]$7.60 \, \text{g}$[/tex], and $7.40 \, \text{g}$[/tex].

What is the mode of Thomas's data set?

A. 0.45
B. 7.40
C. 7.55
D. 7.60



Answer :

To find the mode of Thomas's data set, we first need to understand what the mode is. The mode is the value that appears most frequently in a data set.

Let's list the recorded masses of the rocks:
- 7.40 g
- 7.85 g
- 7.60 g
- 7.40 g

Now, let's count the frequency of each value:
- 7.40 g appears 2 times
- 7.85 g appears 1 time
- 7.60 g appears 1 time

Among these, the value that occurs most frequently is 7.40 g, which appears 2 times. Therefore, the mode of Thomas's data set is:

[tex]\[ 7.40 \, \text{g} \][/tex]

So the correct answer is:
[tex]\[ \boxed{7.40} \][/tex]