the accompanying table shows the ticket sales of the 15 highest - grossing movies of all time, adjusted for…
the accompanying table shows the ticket sales of the 15 highest - grossing movies of all time, adjusted for inflation, in millions of dollars.\na) construct a frequency distribution with a first class of 877 - 996.\nb) construct a histogram.\nc) construct a frequency polygon.\na) construct a frequency distribution with a first class of 877 - 996.
Answer
Explanation:
Step1: Find class width
First class: 877-996, width = 996 - 877 + 1 = 120 (inclusive)
Step2: List classes
Next classes: 997-1116, 1117-1236, 1237-1356, 1357-1476, 1477-1596, 1597-1716, 1717-1836
Step3: Count frequencies
- 877-996: 801,910,957,972,977 → 5
- 997-1116: 1008,1021,1066 → 3
- 1117-1236: 1125,1204,1224,1235 → 4
- 1237-1356: 1256 →1
- 1357-1476: 0
- 1477-1596:0
- 1597-1716:1628 →1
- 1717-1836:1796 →1
Step4: Verify total
5+3+4+1+0+0+1+1=15 (matches total movies)
Answer:
| Sales (million $) | Number of Movies |
|---|---|
| 877-996 | 5 |
| 997-1116 | 3 |
| 1117-1236 | 4 |
| 1237-1356 | 1 |
| 1357-1476 | 0 |
| 1477-1596 | 0 |
| 1597-1716 | 1 |
| 1717-1836 | 1 |
b) Histogram: Plot classes on x-axis, frequencies on y-axis; draw bars with heights equal to frequencies for each class.
c) Frequency polygon: Plot midpoints of classes (936.5,1056.5,1176.5,1296.5,1416.5,1536.5,1656.5,1776.5) against frequencies, connect points with lines, extend to x-axis at adjacent midpoints with 0 frequency.