What is the median for the set of scores shown in the frequency distribution table? $$\begin{array} { l l }
\ X & \mathrm { f } \
\hline 5 & 1 \
4 & 1 \
3 & 2 \
2 & 3 \
1 & 4
\end{array}$$
A)1
B)1.5
C)2
D)2.5

Question

What is the median for the set of scores shown in the frequency distribution table? $$\begin{array} { l l } 
\ X  & \mathrm { f } \
\hline 5 & 1 \
4 & 1 \
3 & 2 \
2 & 3 \
1 & 4
\end{array}$$
A)1
B)1.5
C)2
D)2.5

Quizplus · Accepted Answer

To find the median, we need to first find the total number of scores. In this case, the total frequency is 1 + 1 + 2 + 3 + 4 = 11. Since there are an odd number of scores, the median will be the middle score when the scores are arranged in order. To find the middle score, we need to find the cumulative frequency that is greater than or equal to (11 + 1) ÷ 2 = 6. The cumulative frequency for a score of 2 is 1 + 2 = 3, which is greater than 6. Therefore, the median score is 2.

What Is the Median for the Set of Scores Shown Xf5141322314\begin{array} { l l } \ X & \mathrm { f } \\\hline 5 & 1 \\4 & 1 \\3 & 2 \\2 & 3 \\1 & 4\end{array} X54321​f11234​​

What Is the Median for the Set of Scores Shown $\begin{array} { l l } \ X & \mathrm { f } \\\hline 5 & 1 \\4 & 1 \\3 & 2 \\2 & 3 \\1 & 4\end{array}$