Multiple choice

For a grouped data, the mean and the mode are 7 each. What will be the median?

  1. 21

  2. 7

  3. 35

  4. 14
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The empirical relationship between mean, median, and mode is: Mode = 3*Median - 2*Mean. Given Mode = 7 and Mean = 7, we have 7 = 3*Median - 2(7), so 7 = 3*Median - 14, which means 21 = 3*Median, so Median = 7.

AI explanation

Use the empirical relationship between mean, median, and mode for moderately skewed distributions, which states that median equals mean plus mode all divided by 2. Substituting the given values of mean as 7 and mode as 7 gives (7 plus 7) divided by 2. The result is 14 divided by 2, which is 7.

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