Score (x) 0 1 2 3 4 5 6 Freq (f) 5 7 3 7 11 6 7 Find the mean of the data.

To find the mean of a frequency distribution, we use the formula:

Where:

• $x$ is the score
• $f$ is the frequency
• $\sum fx$ is the sum of the products of each score and its frequency
• $\sum f$ is the total number of frequencies

Step 1: Create a frequency table and calculate $fx$

| Score ($x$) | Frequency ($f$) | $f \times x$ | | :--- | :--- | :--- | | 0 | 5 | $0 \times 5 = 0$ | | 1 | 7 | $1 \times 7 = 7$ | | 2 | 3 | $2 \times 3 = 6$ | | 3 | 7 | $3 \times 7 = 21$ | | 4 | 11 | $4 \times 11 = 44$ | | 5 | 6 | $5 \times 6 = 30$ | | 6 | 7 | $6 \times 7 = 42$ |

Step 2: Calculate the totals

• Total Frequency ($\sum f$): $5 + 7 + 3 + 7 + 11 + 6 + 7 = 46$
• Total Sum of products ($\sum fx$): $0 + 7 + 6 + 21 + 44 + 30 + 42 = 150$

Step 3: Calculate the Mean

Rounding to two decimal places, we get 3.26.

Conclusion

Comparing our result to the options provided, the correct value matches option A.

Exam Tip: When dealing with frequency tables in JAMB, always double-check your addition of the frequencies ($\sum f$) first. A small error in the total frequency will throw off your entire calculation. If you have time, perform the multiplication $f \times x$ twice to ensure no arithmetic slips occurred.