I see you've uploaded an image with several math problems. I'll go ahead and extract and solve each problem from the image.

Problems Extracted from the Image:

1. What is the mean of the numbers below?

   • 2, 10, 6, 8, 4

2. What is the median of the numbers below?

   • 4, 8, 10, 12, 15

3. What is the mode of the numbers below?

   • 1, 6, 7, 8, 6, 5, 7, 8, 5

4. What is the range of the numbers below?

   • 1, 6, 8, 9, 11, 19, 23, 100

5. What is the mean of the numbers below?

   • 5, 10, 2, 8, 15, 14, 2, 17

6. The following data set represents the number of children who visited a park per day for 15 days. What is the mode of the data set?

   • 5, 6, 7, 12, 7, 12, 7, 16, 16, 10, 7, 6, 12, 14, 16

Solutions:

1. Mean of 2, 10, 6, 8, 4: $\text{Mean} = \frac{2 + 10 + 6 + 8 + 4}{5} = \frac{30}{5} = 6$ Answer: The mean is 6.

2. Median of 4, 8, 10, 12, 15: The numbers are already in order. Since there is an odd number of terms, the median is the middle number. Answer: The median is 10.

3. Mode of 1, 6, 7, 8, 6, 5, 7, 8, 5:

   • 1 appears 1 time
   • 6 appears 2 times
   • 7 appears 2 times
   • 8 appears 2 times
   • 5 appears 2 times Since 6, 7, 8, and 5 all appear twice, there are multiple modes. Answer: The modes are 6, 7, 8, and 5.

4. Range of 1, 6, 8, 9, 11, 19, 23, 100: $\text{Range} = 100 - 1 = 99$ Answer: The range is 99.

5. Mean of 5, 10, 2, 8, 15, 14, 2, 17: $\text{Mean} = \frac{5 + 10 + 2 + 8 + 15 + 14 + 2 + 17}{8} = \frac{73}{8} = 9.125$ Answer: The mean is 9.125.

6. Mode of the data set 5, 6, 7, 12, 7, 12, 7, 16, 16, 10, 7, 6, 12, 14, 16:

   • 5 appears 1 time
   • 6 appears 2 times
   • 7 appears 4 times
   • 12 appears 3 times
   • 16 appears 3 times
   • 10 and 14 appear 1 time each Answer: The mode is 7.

Would you like to dive deeper into any of these solutions or need further assistance?

Related Questions:

1. How do you calculate the standard deviation for the set of numbers in Problem 1?
2. What is the difference between the mean and the median, and in what situations might one be preferred over the other?
3. Could you have multiple modes in a data set, and what does that indicate about the data?
4. How does the range give you insight into the spread of the data in Problem 4?
5. How would the mean change if you added an additional number to the set in Problem 5?

Tip: The median is a good measure of central tendency when you have outliers in your data, as it is not affected by extremely high or low values.