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data distribution quiz complete 1 2 3 time rem 54: this list shows the lengths in feet of the 25 longest bridges in the united states. 1010 1470 1600 2000 2800 1053 1495 1632 2150 3500 1200 1596 1750 2150 3800 1207 1600 1800 2300 4200 1380 1600 1850 2310 4260 jamie made a frequency table of the bridge data. u.s. bridges length (ft) tally frequency (first interval) 卌卌 ii 7 (last interval) ii 2 based on the tallies and frequencies for the first and last intervals, how many intervals of what length did jamie use
Step1: Find the range of data
The smallest value is 1010 and the largest is 4260. Range = 4260 - 1010=3250.
Step2: Analyze first - interval frequency
The frequency of the first interval is 7. Let's assume equal - length intervals.
Step3: Analyze last - interval frequency
The frequency of the last interval is 2.
Step4: Determine interval length and number
Sort the data: 1010, 1053, 1200, 1207, 1380, 1470, 1495, 1596, 1600, 1600, 1600, 1632, 1750, 1800, 1850, 2000, 2150, 2150, 2300, 2310, 2800, 3500, 3800, 4200, 4260.
If we assume the first interval starts at 1000. Since the first interval has 7 values and looking at the sorted data, a reasonable interval length is 500.
The number of intervals: $\frac{4260 - 1000}{500}\approx\frac{3260}{500}=6.52$. Rounding up, we get 7 intervals.
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7 intervals of length 500 feet.