Subjects statistics

Lollipops Histogram 222319

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1. **State the problem:** We have a stem-and-leaf plot showing the number of lollipops sold by students. We need to construct a histogram representing the same data with intervals 1-10, 11-20, 21-30, and 31-40. 2. **Understand the stem-and-leaf plot:** - Stem 0: Leaves 4,4,7,8 represent 4,4,7,8 lollipops. - Stem 1: Leaves 0,0,2,3,6,6 represent 10,10,12,13,16,16 lollipops. - Stem 2: Leaves 1,5,9 represent 21,25,29 lollipops. - Stem 3: Leaves 0,1,2,3,5,7,8 represent 30,31,32,33,35,37,38 lollipops. 3. **Count the number of students in each interval:** - Interval 1-10: Count numbers from 1 to 10. From stem 0: 4,4,7,8 → 4 students - Interval 11-20: Count numbers from 11 to 20. From stem 1: 10,10,12,13,16,16 → 6 students - Interval 21-30: Count numbers from 21 to 30. From stem 2: 21,25,29 → 3 students From stem 3: 30 → 1 student Total: 3 + 1 = 4 students - Interval 31-40: Count numbers from 31 to 40. From stem 3: 31,32,33,35,37,38 → 6 students 4. **Final histogram bar heights:** - Interval 1-10: 4 - Interval 11-20: 6 - Interval 21-30: 4 - Interval 31-40: 6 These heights represent the number of students in each lollipop sold interval.