Question

here are the scores for 19 students on a history test. 87, 85, 70, 78, 74, 77, 96, 84, 80, 83, 79, 88, 72, 93, 82, 92, 90, 89, 73. draw the histogram for these data.

Explanation:

Step1: Define frequency - count intervals

The intervals are 69 - 75, 76 - 82, 83 - 89, 90 - 96.

Step2: Count scores in each interval

For 69 - 75: 70, 74, 72, 73 - frequency is 4.
For 76 - 82: 78, 77, 80, 82 - frequency is 4.
For 83 - 89: 87, 85, 84, 83, 88, 89 - frequency is 6.
For 90 - 96: 96, 93, 92, 90 - frequency is 4.

Step3: Draw histogram

On the x - axis is frequency and y - axis is score intervals. Draw bars with heights corresponding to the frequencies calculated above.

Answer:

The histogram has bars with frequencies 4, 4, 6, 4 for intervals 69 - 75, 76 - 82, 83 - 89, 90 - 96 respectively.