Refer to the following frequency distribution to answer the questions: $$\begin{array} { | l | c | c | c | c | }
\hline \text { Value } & 1 & 2 & 3 & 6 \
\hline \text { Relative frequency } & 25 \% & 25 \% & 15 \% & 35 \% \
\hline
\end{array}$$
-Which of the following statements describes the mean of the distribution?
A) It is less than 2.
B) It is between 2 and 3.
C) It is larger than 3.
D) The mean cannot be determined from the frequency distribution.

Question

Refer to the following frequency distribution to answer the questions: $$\begin{array} { | l | c | c | c | c | } 
\hline \text { Value } & 1 & 2 & 3 & 6 \
\hline \text { Relative frequency } & 25 \% & 25 \% & 15 \% & 35 \% \
\hline
\end{array}$$
-Which of the following statements describes the mean of the distribution?
A) It is less than 2.
B) It is between 2 and 3.
C) It is larger than 3.
D) The mean cannot be determined from the frequency distribution.

Quizplus · Accepted Answer

The mean of the distribution can be calculated by multiplying each value by its relative frequency and then summing these products. Calculation: $1(0.25) + 2(0.25) + 3(0.15) + 6(0.35) = 0.25 + 0.5 + 0.45 + 2.1 = 3.3$, which is larger than 3.

Refer to the Following Frequency Distribution to Answer the Questions