Question

1 - 10 1
11 - 20 0
21 - 30 1
31 - 40 1
41 - 50 2
51 - 60 4
61 - 70 6
71 - 80 11
81 - 90 5
91 - 100 4
what is an appropriate scale and interval for this histogram?
the scale should be 0 - 10, and the interval should be 10.
the scale should be 0 - 15, and the interval should be 5.
the scale should be 1 - 10, and the interval should be 5.
the scale should be 1 - 15, and the interval should be 10.

Explanation:

1. First, identify the maximum frequency in the data: the highest frequency is 11. The scale needs to cover this maximum value, so it should go at least to 11.
2. Next, check the class intervals of the original data: each group spans 10 units (1-10, 11-20, etc.), so the horizontal (x-axis) interval for the histogram should match this 10-unit span.
3. Evaluate the options:

• Option 1: Scale 0-10 is too small (can't fit the frequency of 11).
• Option 2: Scale 0-15 covers the max frequency 11, and an interval of 5 would misalign with the original 10-unit data groups.
• Option 3: Scale 1-10 is too small, and interval 5 is incorrect.
• Option 4: Scale 1-15 covers the max frequency 11, and interval 10 matches the original data's group span.

Answer:

The scale should be 1 - 15, and the interval should be 10.