If the mean of the following set of data, 2, 3,3,3, 2,4, 4, and 3 is divided by its mode, the result is:

Analyze the question: We need the mean of the data set, then divide it by the mode.

Concept:

• Mean = (sum of all values) ÷ (number of values)
• Mode = the value that appears most often

Solution:

Data: 2, 3, 3, 3, 2, 4, 4, 3. There are 8 values.

Sum = 2 + 3 + 3 + 3 + 2 + 4 + 4 + 3 = 24

Mean = 24 ÷ 8 = 3

Frequencies:

• 2 appears 2 times
• 3 appears 4 times
• 4 appears 2 times

Mode = 3

Mean ÷ Mode = 3 ÷ 3 = 1

Answer: The result is 1, which is option A.

Tip: For mean and mode questions, tally the frequencies first. You can get the mode from the tally, and the sum is easier to check when the numbers are grouped (for example, 2×2 + 3×4 + 4×2 = 4 + 12 + 8 = 24). Always count your data values so you divide by the correct number.