1. **State the problem:** We need to find the Median (Md), the first quartile (Q1), and the 43rd percentile (P43) for the data set: 60, 70, 50, 80, 90, 100, 110.
2. **Sort the data:** Arrange the data in ascending order: 50, 60, 70, 80, 90, 100, 110.
3. **Find the Median (Md):** The median is the middle value of the sorted data. Since there are 7 data points (odd number), the median is the 4th value.
$$Md = 80$$
4. **Find the first quartile (Q1):** Q1 is the median of the lower half of the data (values before the median).
Lower half: 50, 60, 70
Median of lower half (Q1) is the 2nd value:
$$Q1 = 60$$
5. **Find the 43rd percentile (P43):** Use the formula for percentile position:
$$L = \frac{P}{100} \times (n + 1) = \frac{43}{100} \times (7 + 1) = 0.43 \times 8 = 3.44$$
The 3.44th value lies between the 3rd and 4th data points (70 and 80).
Interpolate:
$$P43 = 70 + 0.44 \times (80 - 70) = 70 + 4.4 = 74.4$$
**Final answers:**
- Median (Md) = 80
- First quartile (Q1) = 60
- 43rd percentile (P43) = 74.4
Median Quartile Percentile Ab1Da0
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