https://file.aiquickdraw.com/mathbot/file/17276162085712zyhq3zt.jpg

Let's break down the problem from the image you provided. The table shows the repair costs of 50 customers' hand tractors (in thousand rupiahs). We're tasked with:

1. **Finding the following statistics**:
   - **Median** (Nilai tengah)
   - **Mode** (Modus)
   - **Mean**
   - **Standard Deviation** (SD)
   - **Coefficient of Variation** (Koefisien Keragaman - KK)

2. **Finding the probability** that the repair cost falls between:
   - Mean + Standard Deviation
   - Mean - Standard Deviation

I will start by extracting the data from the table and then compute the requested statistics. Let me calculate that for you.Here are the computed values from the dataHere are the computed values from the 

1. **Median (Nilai Tengah)**: 77.0
2. **Mode (Modus)**: 77
3. **Mean**: 79.45 (thousand rupiahs)
4. **Standard Deviation (SD)**: 14.72 (thousand rupiahs)
5. **Coefficient of Variation (Koefisien Keragaman - KK)**: 18.53%

Next, I'll calculate the probability that the repair cost falls between the mean plus or minus one standard deviation (i.e., \(\mu + \sigma\) and \(\mu - \sigma\)) based on the normal distribution approximation.The range for repair costs between the mean plus or minus one standard deviation is:

- Lower bound: **64.73** thousand rupiahs
- Upper bound: **94.17** thousand rupiahs

The probability that the repair cost falls within this range is approximately **68.27%**. This is consistent with the empirical rule for normal distributions, where about 68% of the data lies within one standard deviation from the mean.

Would you like more details or further clarifications?

Here are 5 related questions to deepen your understanding:
1. How would the results change if we considered a different confidence interval (e.g., 95%)?
2. What is the importance of the coefficient of variation in comparing data sets with different means?
3. How does the presence of multiple modes affect the interpretation of data?
4. Can the probability calculated be applied directly if the data does not follow a normal distribution?
5. How would skewness in the data affect the relationship between the mean, median, and mode?

**Tip:** The coefficient of variation (KK) is useful for comparing variability between datasets with different units or means, as it standardizes the spread relative to the mean.

Manajer Bengkel Alsintan ingin mengetahui distribusi biaya perbaikan traktor tangan berdasarkan data sampel 50 pelanggan. Hitunglah median, modus, mean, standar deviasi, koefisien keragaman, dan peluang biaya perbaikan sebesar rata-rata ± standar deviasi.

Learn how to calculate the median, mode, mean, standard deviation, and probability of repair costs based on a sample of 50 customers' tractor repairs. This example includes descriptive statistics and probability calculations, relevant for undergraduate statistics learners.

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