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Question
regents exam questions a.s.5: frequency histograms, bar graphs and tables www.jmap.org 3 the scores on a mathematics test were: 70, 55, 61, 80, 85, 72, 65, 40, 74, 68, 84 complete the accompanying table, and use the table to construct a frequency histogram for these scores. score tally frequency 40—49 50—59 60—69 70—79 80—89
Step1: Count scores in 40 - 49
The score 40 is in this range. So tally is | and frequency is 1.
Step2: Count scores in 50 - 59
The score 55 is in this range. So tally is | and frequency is 1.
Step3: Count scores in 60 - 69
The scores 61, 65, 68 are in this range. So tally is ||| and frequency is 3.
Step4: Count scores in 70 - 79
The scores 70, 72, 74 are in this range. So tally is ||| and frequency is 3.
Step5: Count scores in 80 - 89
The scores 80, 85, 84 are in this range. So tally is ||| and frequency is 3.
The completed table:
| Score | Tally | Frequency | |||
|---|---|---|---|---|---|
| 50 - 59 | 1 | ||||
| 60 - 69 | 3 | ||||
| 70 - 79 | 3 | ||||
| 80 - 89 | 3 |
To construct the frequency histogram:
- On the x - axis, label the score intervals (40 - 49, 50 - 59, 60 - 69, 70 - 79, 80 - 89).
- On the y - axis, label the frequency.
- For the interval 40 - 49, draw a bar with height 1.
- For the interval 50 - 59, draw a bar with height 1.
- For the interval 60 - 69, draw a bar with height 3.
- For the interval 70 - 79, draw a bar with height 3.
- For the interval 80 - 89, draw a bar with height 3.
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The completed table is shown above and the steps to construct the frequency histogram are described above.