https://file.aiquickdraw.com/mathbot/file/1727184534108fx0vzx40.jpg

To verify whether the data given is correct, we need to confirm that the mean, mode, and median match the values provided:

### Numbers in the set:
The set provided is:
\[ 18, 18, 17, 16, 15, 14 \]

### Checking the Mean:
The mean is calculated by the sum of all values divided by the number of values.

\[
\text{Mean} = \frac{18 + 18 + 17 + 16 + 15 + 14}{6} = \frac{98}{6} = 16.33
\]

The provided mean is **17**, but the actual mean is **16.33**, so the mean is **incorrect**.

### Checking the Mode:
The mode is the most frequently occurring number in the data set. In this case, **18** appears twice, and no other number appears more than once.

So, the mode is **18**, which matches the provided mode. Thus, the mode is **correct**.

### Checking the Median:
The median is the middle value in an ordered data set. Since there are 6 numbers, the median will be the average of the 3rd and 4th values.

Ordering the set:
\[ 14, 15, 16, 17, 18, 18 \]

The 3rd and 4th values are **16** and **17**, so the median is:
\[
\text{Median} = \frac{16 + 17}{2} = 16.5
\]

The provided median is **17.5**, but the actual median is **16.5**, so the median is **incorrect**.

### Conclusion:
- **Mean**: Incorrect (should be 16.33, not 17)
- **Mode**: Correct
- **Median**: Incorrect (should be 16.5, not 17.5)

Let me know if you'd like any further clarifications or details!

### Related Questions:
1. How do you calculate the mean for a larger set of data?
2. What happens if there is no mode in a data set?
3. Can the median ever be the same as the mean or mode?
4. What is the impact of outliers on the mean?
5. How can you quickly estimate the median in a larger data set?

### Tip:
For data with an even number of values, always take the average of the two middle values to find the median.

Check the accuracy of the mean, mode, and median for the data set [18, 18, 17, 16, 15, 14]. This detailed analysis verifies the correctness of each statistical measure, providing a step-by-step explanation suitable for students in Grades 6-8.

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