Question

In: Statistics and Probability

Use data below to complete 5 3 0 0 0 5 1 2 0 1 1...

Use data below to complete

5

3

0

0

0

5

1

2

0

1

1

1

1

7

0

2

2

1

2

0

6

4

1

3

2

4

0

1

1

0

0

0

1

3

0

2

1

0

3

0

3

0

1

2

8

2

3

0

0

5

1

1

3

10

1

0

2

0

1

0

Table 1.18 Frequency of Number of Movies Viewed

Number of Movies

Frequency

Relative Frequency

Cumulative Relative Frequency

0–1

2–3

4–5

6–7+

Table 1.19 Frequency of Number of Movies Viewed

  1. Using the tables, find the percent of data that is at most two. Which table did you use and why?
  2. Using the tables, find the percent of data that is at most three. Which table did you use and why?
  3. Using the tables, find the percent of data that is more than two. Which table did you use and why?
  4. Using the tables, find the percent of data that is more than three. Which table did you use and why?

Discussion Questions

  1. Is one of the tables “more correct” than the other? Why or why not?
  2. In general, how could you group the data differently? Are there any advantages to either way of grouping the data?
  3. Why did you switch between tables, if you did, when answering the question above?

Solutions

Expert Solution

Number of Movies

Frequency

Relative Frequency

Cumulative Relative Frequency

0–1

35

2–3

16

4–5

5

6–7+

4 1

Table 1.19 Frequency of Number of Movies Viewed

  1. Using the tables, find the percent of data that is at most two. Which table did you use and why?Ans: The percent (58.33%) of data that is at most two are 0 and 1 as   . Here I use the Table 1.19 as frequency as well as relative frequency gives the maximum.
  2. Using the tables, find the percent of data that is at most three. Which table did you use and why?Ans The percent of data that is at most three are 0, 1 and 2 as the corresponding frequencies are 19,16 and 9 respectively . To decide this I keep my attention to the Table 1.18 as Table 1.19 does not provide frequencies of different values rather it provide group frequencies.
  3. Using the tables, find the percent of data that is more than two. Which table did you use and why?Ans From Table 1.18 we have the data that are more than two is = 16 and clearly percent of the data =%=26.67% data are more than 2. use Table 1.18 as Table 1.19 does not provide frequencies of different values rather Table 1.18 provide each value separately and can count.
  4. Using the tables, find the percent of data that is more than three. Which table did you use and why?   Ans:From Table 1.19 we have the data that are more than three is = (5+4)=9 and clearly percent of the data =%=15% data are more than 3. Use Table 1.19 as Table 1.19 provide frequencies already counted for groups (4-5) and (6 and more).

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