MA 171 Week 7 Discussion | Park University | Assignment Help
- Park University / MA 171
- 21 May 2021
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- Mathematics Assignment Help / Matrix Theory
MA 171 Week 7 Discussion | Park University | Assignment Help
Week 7 Discussion
1. Why is it important to represent data with graphing tools?
2. What are the similarities and differences between a histogram
and a frequency table?
3. What is the difference between a frequency polygon and a
cumulative frequency polygon? Explain.
4. In a given frequency table, if represents
the total sum of the frequencies and if denotes
a frequency of a class, then what is the relative frequency of that class in
terms of and ?
Explain.
5. What is the difference between the relative frequency and the
cumulative relative frequency?
6. In constructing the ogive, do we need to know what is the
frequency of each class, or knowing the cumulative for each class is
sufficient? Explain.
7. A given frequency table has 3 classes, Class1, Class2, and
Class3. The total number of frequencies is 10 and Class1 and Class2 have
frequencies 2 and 3 respectively. What is the relative frequency of Class3?
8. Compute the mean of the following data: 4, 3, 6, 6, 6.
Explain your work.
9. Given the following data: 3, 3, 4, 5, 7, 7, 7. What is the
mode, median, and the mean? Explain.
10. A fair die is rolled 300 times and each time the result is
recorded. What would you expect the mean of the formed data set be? Explain.
11. A data set is formed by recording the sums on a 100
rolls of a pair of a fair dice. What would you expect the mean of the data set
be?
12. Construct a set of four numbers that have mean 10, mode 8,
and median 9. Explain.
13. Suppose we have a data of size two,
say x_{1} and x_{2} whose
mean is 5. If x_{1}=3, compute the
value of x_{2.}
14. Suppose that we have the data {x_{1}, x_{2}, ...,x_{n}} such that x_{1}=x_{2}=...=x_{n}=3. What
is the mean of the data? What is the standard deviation?
15. In the formula for the mean of the grouped data, what do you
get when you have all group frequencies equal to 1?
16. Compute the standard deviation of the following data: 3, 3,
4, 6.
17. Suppose we have a data of size two,
say x_{1} and x_{2}. What is
the standard deviation?
18. Explain why the variance is never negative.
19. Suppose we have a data whose standard deviation is zero.
What conclusion can you derive about the data?
20. Two data sets of the same size have
standard deviations s_{1} and
s_{2}. If s_{1}<s_{2}, then how do these data sets compare?
21. A data set is formed by recording the sums in 200 rolls of a
pair of a dice. A second data set is formed by recording the results of 200
draws of a ball from a box containing 11 balls numbered 2 through 12. Which of
the data sets would you expect to have a smaller standard deviation? Explain.
22. Assume that we have a data of size 3 with mean 5 and mode 3.
Compute the standard deviation.