In a sample survey of a University Community, the following table shows the percentage distribution of the number of members per house hold
\(\begin{array}{c|c} \text{No. of members per household} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & \text{Total} \\ \hline \text{No. of households} & 3 & 12 & 15 & 28 & 21 & 10 & 7 & 4 & 100\end{array}\)
What is the median?
The correct answer is A. 4
The median is the middle value when a data set is ordered from least to greatest.
In this case, we have a frequency distribution, so we need to find the value that corresponds to the middle of the distribution.
Since there are a total of 100 households in the sample, the median corresponds to the average of the 50th and 51st households when the data is ordered from least to greatest.
Looking at the cumulative frequency distribution, we can see that the 50th and 51st households both fall within the category of households with 4 members.
Therefore, the median number of members per household is 4
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