Create frequency table: Create a frequency distribution table with appropriate intervals.
Determine score range: List all the scores in ascending order to determine the range of the data. 35,37,39,40,44,45,49,50,53,53,55,55,58,59,60,60,63,63,63,64,67,67,68,68,69,69,70,70,74,75,77,78,83,83,86,89,89,90,93,95
Calculate interval width: Determine the range by subtracting the smallest score from the largest score. Range = 95−35=60
Create intervals: Decide the number of intervals (classes) to use. Let's use 6 intervals.
Count scores in intervals: Calculate the interval width by dividing the range by the number of intervals.Interval width = 660=10
Adjust intervals: Create intervals based on the interval width. Start from the smallest value, 35. Intervals: 35−44, 45−54, 55−64, 65−74, 75−84, 85−94
Adjust intervals: Create intervals based on the interval width. Start from the smallest value, 35. Intervals: 35−44, 45−54, 55−64, 65−74, 75−84, 85−94 Count the number of scores in each interval. 35−44: 5 scores 45−54: 35−440 scores 55−64: 35−442 scores 65−74: 35−444 scores 75−84: 35−440 scores 85−94: 35−444 scores
Adjust intervals: Create intervals based on the interval width. Start from the smallest value, 35. Intervals: 35−44, 45−54, 55−64, 65−74, 75−84, 85−94 Count the number of scores in each interval. 35−44: 5 scores 45−54: 35−440 scores 55−64: 35−442 scores 65−74: 35−444 scores 75−84: 35−440 scores 85−94: 35−444 scores Realize there's a mistake because the last interval doesn't include the highest score of 35−449. Adjust the intervals to include all scores.