Question
If mean = 28 and mode = 25, the value of median will be :
The correct answer is
27
We use the empirical relation:
Mode = 3 × Median − 2 × Mean
Given:
Mean = 28
Mode = 25
Substitute values:
25 = 3 × Median − 2 × 28
25 = 3 × Median − 56
25 + 56 = 3 × Median
81 = 3 × Median
Median = 81 ÷ 3 = 27
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Important Questions from Measures of Central Tendency
What is the median of the following data?
24, 30, 40, 80, 15, 57, 78, 82, 39, 97, 82- In order to conduct exploratory data analysis, which of following are used by a researcher in the five number summary?
A. Median
B. First quartile
C. Mean
D. Third quartile
E. Smallest and largest values
Choose the correct answer from the options given below: - The Geometric mean of four numbers 2, X, 16, 32 is 8. What is the value of X ?
- Given arithmetic mean = 45, mode = 48, then median =
- Assertion (A) : Geometric mean is theoretically considered as the best average to construct index numbers.
Reason (R) : Geometric mean is used if the range of observations is extremely large.
Codes :
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