Multiple choice

Thirty students in a class went to cricket match. The results are recording in groups as follows$:$ Calculate the value mode for the foolowing data. (choose your answer to $2$ decimal places) Over $1-5$ $5-9$ $9-13$ $13-17$ $17-21$ $21-25$ $25-29$ Runs $0$ $2$ $4$ $10$ $3$ $11$ $0$

  1. $21.84$
  2. $20.89$
  3. $22.684$
  4. $22.68$
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A Correct answer
AI explanation

The modal class is the one with the highest frequency, which is 21 to 25 with a frequency of 11. Using the formula for mode, we substitute l equals 21, f1 equals 11, f0 equals 3, f2 equals 0, and h equals 4. The calculation is 21 plus ((11 minus 3) divided by (22 minus 3)) times 4, which simplifies to 21 plus (8 divided by 19) times 4. This gives the result 21.84.