What is the median of the distribution?
A frequency distribution table is given below:<br><br> <table> <thead><tr><th>X</th><th>0</th><th>1</th><th>2</th><th>3</th><th>4</th><th>5</th></tr></thead> <tbody> <tr><td>f</td><td>46</td><td>p</td><td>q</td><td>25</td><td>10</td><td>5</td></tr> </tbody> </table><br><br> Total frequency is 200 and mean of the distribution is 1.46.
- A. 1 ✓
- B. 2
- C. 3
- D. 4
Correct Answer: A. 1
Explanation
The total frequency is 200. The median is the average of the 100^{\text{th}} and 101^{\text{st}} terms. The cumulative frequency up to X=0 is 46. Up to X=1, it is 46 + 76 = 122. Since both the 100^{\text{th}} and 101^{\text{st}} observations fall in the X=1 class, the median is 1.
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