If Mode=$195.2$, Median=$198.4$ then the approximately value of mean is
- $200$
- $250$
- $210$
- $225$
Reveal answer
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A
Correct answer
Explanation
The empirical relationship between mean, median, and mode is given by the formula Mode = 3 * Median - 2 * Mean. Substituting the given values, we get 195.2 = 3 * 198.4 - 2 * Mean, which simplifies to 2 * Mean = 400, yielding a Mean of 200.
AI explanation
We use the empirical relationship between the measures of central tendency, which states that the mode is approximately equal to 3 times the median minus 2 times the mean. Substituting the given values gives 195.2 equals 3 times 198.4 minus 2 times the mean. Calculating 3 times 198.4 yields 595.2, so 2 times the mean is 595.2 minus 195.2, which equals 400. Dividing 400 by 2 gives a mean of 200.