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**Hint:**We are given four numbers and we are asked to find the mean of the given numbers. We know that the mean of the given numbers is calculated using the formula, \[Mean=\dfrac{\text{Sum of the numbers}}{\text{Total numbers given}}\]. So, first of all, we will calculate the sum of the given numbers. Then, we will write the count of numbers given to us, which is nothing but 4. So, now we have the required values so we will substitute it directly in the formula of the mean and on solving, we will find the required mean of the given numbers.

**Complete step-by-step solution:**

According to the given question, we are given four numbers and we are asked to find the mean of the given numbers.

The numbers given to us are,

\[7,10,4,17\]

Mean refers to the average of the numbers given or the most common value in the numbers given to us. In the area of statistics, mean refers to the central tendency of a probability distribution.

The formula of the mean of the numbers is,

\[Mean=\dfrac{\text{Sum of the numbers}}{\text{Total numbers given}}\]

First of all, we will find the sum of the given numbers, that is, we will add up the terms, we have,

Sum of the numbers = \[7+10+4+17\]

\[\Rightarrow \] Sum of the numbers = \[38\]

Next, we find the count of the numbers given to us, and that is,

Total numbers given = 4

Now, we have the values, so we will substitute the values in the formula of the mean.

We get,

\[\Rightarrow Mean=\dfrac{38}{4}\]

On solving the above expression, we get the value of the mean as,

\[\Rightarrow Mean=9.5\]

**Therefore, the mean of the numbers \[7,10,4,17\] is \[9.5\].**

**Note:**The mean of the numbers should not be confused with the other statistical terms such as median and mode. In statistics, median is used to find the deviation from the central tendency. And mode corresponds to the number with the maximum frequency or occurrence in the collection of numbers given.

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