Question
A researcher opened and counted number of raisins in each box. The numbers in each box...
A
researcher opened and counted number of raisins in each box. The
numbers in each box includes: 29, 27, 27, 28, 31, 26, 28, 28, 30,
29, 29, 26, 27, 29, 29, 25, 28, 28.
1. Construct a table that includes the following: Tally,
Frequency, Cumulative Frequency, Relative Frequency, Cumulative
Relative Frequency. Do NOT GROUP this data into classes.
2. Construct a dot plot using the data from the information
from the table.
3. Based on the dot plot, what can you conclude about the
number of raisins in each box?
Homework Answers
Answer #1
1.
Cumulative frequency is the running total of the frequencies.
Relative Frequency is frequency divided by total frequency.
| element | frequency | cumulative frequency | Relative Frequency |
cumulative Relative frequency |
| 25 | 1 | 1 | 0.05555555556 | 0.05555555556 |
| 26 | 2 | 3 | 0.1111111111 | 0.1666666667 |
| 27 | 3 | 6 | 0.1666666667 | 0.3333333333 |
| 28 | 5 | 11 | 0.2777777778 | 0.6111111111 |
| 29 | 5 | 16 | 0.2777777778 | 0.8888888889 |
| 30 | 1 | 17 | 0.05555555556 | 0.9444444444 |
| 31 | 1 | 18 | 0.05555555556 | 1 |
2.
3. Looking at the box plot-
It's median and mean both are 28. 28 and 29 raisins were found in maximum no. of boxes. Maximum raisins found in a box were 31 and minimum were 25.
If any doubt please feel free to ask through the comments section. Thank You
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