What is the value of q?

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.

  1. A. 32
  2. B. 34
  3. C. 36
  4. D. 38

Correct Answer: D. 38

Explanation

Using the equations p + q = 114 and p + 2q = 152 established previously, subtracting the first from the second gives q = 152 - 114 = 38.

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