1. **Stating the problem:**
Calculate the median, mode (dominanta), and arithmetic mean (średnia arytmetyczna) for the data set:
$$7, 4, 3, 8, 3, 4, 3$$
2. **Order the data:**
$$3, 3, 3, 4, 4, 7, 8$$
3. **Median:**
The median is the middle value in an ordered data set. Since there are 7 values (odd number), the median is the 4th value:
$$\text{median} = 4$$
4. **Mode (dominanta):**
The mode is the value that appears most frequently. Here, 3 appears 3 times, more than any other number:
$$\text{dominanta} = 3$$
5. **Arithmetic mean (średnia arytmetyczna):**
The mean is the sum of all values divided by the number of values:
$$\bar{x} = \frac{7 + 4 + 3 + 8 + 3 + 4 + 3}{7}$$
Calculate the sum:
$$7 + 4 + 3 + 8 + 3 + 4 + 3 = 32$$
So:
$$\bar{x} = \frac{32}{7}$$
Show cancellation step:
$$\bar{x} = \frac{\cancel{32}}{\cancel{7}}$$
Simplify to decimal:
$$\bar{x} \approx 4.57$$
**Final answers:**
- Median = 4
- Dominanta = 3
- Średnia arytmetyczna $\bar{x} \approx 4.57$
Mean Median Mode 91E089
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