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regents exam questions a.s.5: frequency histograms, bar graphs and tabl…

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

Explanation:

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:

ScoreTallyFrequency
50 - 591
60 - 693
70 - 793
80 - 893

To construct the frequency histogram:

  1. On the x - axis, label the score intervals (40 - 49, 50 - 59, 60 - 69, 70 - 79, 80 - 89).
  2. On the y - axis, label the frequency.
  3. For the interval 40 - 49, draw a bar with height 1.
  4. For the interval 50 - 59, draw a bar with height 1.
  5. For the interval 60 - 69, draw a bar with height 3.
  6. For the interval 70 - 79, draw a bar with height 3.
  7. For the interval 80 - 89, draw a bar with height 3.

Answer:

The completed table is shown above and the steps to construct the frequency histogram are described above.