What is the value of f?

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>

  1. A. 50
  2. B. 60
  3. C. 70
  4. D. 80

Correct Answer: A. 50

Explanation

The sum of the frequencies is f + (f+2) + (f-3) + (f+6) = 4f + 5. Since the total number of observations is 205, we have 4f + 5 = 205 \implies 4f = 200 \implies f = 50.

Related questions on Statistics & Probability

Practice more CDS Elementary Mathematics questions