I am stuck here; please help. I need to understand the steps. Thank you.

1. Find the mean, median, and mode for the set of scores in the following frequency distribution table. Be sure to show all formulas with symbols (and plug-in numbers), steps, processes, and calculations for all parts of all answers.

X	F
10	3
9	5
8	5
7	6
6	2
5	2

2. Find the mean, median, and mode for the set of scores in the following frequency distribution table. Be sure to show all formulas with symbols (and plug-in numbers), steps, processes, and calculations for all parts of all answers.

X	F
10	5
9	3
8	2
7	1
6	4
5	2

3. Find the mean, median, and mode for the set of scores in the following frequency distribution table. Be sure to show all formulas with symbols (and plug-in numbers), steps, processes, and calculations for all parts of all answers.

X	F
8	5
7	3
6	2
5	1
4	6
3	3

4. Find the mean, median, and mode for the set of scores in the following frequency distribution table. Be sure to show all formulas with symbols (and plug-in numbers), steps, processes, and calculations for all parts of all answers.

X	F
6	2
5	5
4	2
3	1
2	4
1	2

5. For the following problem, use the following scores: 5, 8, 8, 8, 7, 8, 9, 12, 8, 9, 8, 10, 7, 9, 7, 6, 9, 10, 11, 8

a. Create a histogram of these data. What is the shape of this histogram?

b. How do you think the three measures of central tendency will compare to each other in this dataset?

c. Compute the sample mean, the median, and the mode

d. Draw and label lines on your histogram for the above values. Each one

Do your results match your predictions?

Be sure to show all formulas with symbols (and plug-in numbers), steps, processes, and calculations for all parts of all answers.

6. Make three data sets with 5 numbers each that have:

a. the same mean but different standard deviations.

b. the same mean but different medians.

c. the same median but different means.

Be sure to show all formulas with symbols (and plug-in numbers), steps, processes, and calculations for all parts of all answers.

7. Compute the sample mean and sample standard deviation for the following scores: -8, -4, -7, -6, -8, -5, -7, -9, -2, 0

Be sure to show all formulas with symbols (and plug-in numbers), steps, processes, and calculations for all parts of all answers.