What is the median of the frequency distribution?
Consider the following for the next five (05) items that follow:<br>The frequency distribution of 205 observations on X is given below:<br> <table> <thead><tr><th>X</th><th>3</th><th>5</th><th>6</th><th>7</th></tr></thead> <tbody> <tr><td>Frequency</td><td>f</td><td>f+2</td><td>f-3</td><td>f+6</td></tr> </tbody> </table>
- A. 3
- B. 5
- C. 6 ✓
- D. It cannot be determined from the given data
Correct Answer: C. 6
Explanation
With f=50, the frequencies are 50, 52, 47, and 56 for X = 3, 5, 6, 7 respectively. For 205 observations, the median is the 103rd value. The cumulative frequencies are 50 (for X=3) and 50+52=102 (for X=5). The 103rd observation falls in the next category, which is X=6.
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