1. We are given five bar charts representing results of five tests, each with three bars of different heights.
2. The problem asks: Which chart(s) have a median greater than the mean?
3. Recall the definitions:
- The mean is the average of all values: $$\text{mean} = \frac{\text{sum of all values}}{\text{number of values}}$$
- The median is the middle value when the data is ordered from smallest to largest.
4. Let's analyze each chart by assigning numerical values to heights: low = 1, medium = 2, high = 3.
(A) Heights: low (1), high (3), low (1)
- Ordered: 1, 1, 3
- Median = middle value = 1
- Mean = (1 + 3 + 1) / 3 = 5 / 3 \approx 1.67
- Median (1) < Mean (1.67)
(B) Heights: medium (2), low (1), medium (2)
- Ordered: 1, 2, 2
- Median = 2
- Mean = (2 + 1 + 2) / 3 = 5 / 3 \approx 1.67
- Median (2) > Mean (1.67)
(C) Heights: high (3), low (1), low (1)
- Ordered: 1, 1, 3
- Median = 1
- Mean = (3 + 1 + 1) / 3 = 5 / 3 \approx 1.67
- Median (1) < Mean (1.67)
(D) Heights: low (1), low (1), high (3)
- Ordered: 1, 1, 3
- Median = 1
- Mean = (1 + 1 + 3) / 3 = 5 / 3 \approx 1.67
- Median (1) < Mean (1.67)
(E) Heights: low (1), medium (2), medium (2)
- Ordered: 1, 2, 2
- Median = 2
- Mean = (1 + 2 + 2) / 3 = 5 / 3 \approx 1.67
- Median (2) > Mean (1.67)
5. Conclusion: Diagrams (B) and (E) have median greater than mean.
**Final answer:** (B) and (E)
Median Greater Mean 95D5E2
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