What is the mean 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. 3.29
- B. 4.29
- C. 5.29 ✓
- D. 6.29
Correct Answer: C. 5.29
Explanation
Sum of all observations = \sum f_i x_i = (50 \times 3) + (52 \times 5) + (47 \times 6) + (56 \times 7) = 150 + 260 + 282 + 392 = 1084. Mean = \frac{1084}{205} \approx 5.29.
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