Question

the histogram is supposed to show the results for a survey of the number of pets in the households of students in a statistics class. identify any misrepresentation issues in the graph. select all that apply.
histogram with x - axis labeled
umber of pets\ (categories: 0, 1, 2, 3, 4) and y - axis with values 0, 2, 4, 6, 8
select all that apply:
a: the horizontal axis does not cover an appropriate range of values.
b: the horizontal spacing is not uniform.
c: the vertical axis does not cover an appropriate range of values.
d: the vertical spacing is not uniform
e: the axis labeling is not complete.
f: the graph is designed appropriately.

Explanation:

• For option A: The horizontal axis (number of pets) ranges from 0 to 4, which is appropriate for a survey of household pets, so A is incorrect.
• For option B: Looking at the horizontal axis (categories 0, 1, 2, 3, 4), the spacing between 1 and 2 is larger than between 0 and 1, 2 and 3, 3 and 4. So horizontal spacing is not uniform, B is correct.
• For option C: The vertical axis (frequency) ranges from 0 to 8, with intervals of 2, which is appropriate, so C is incorrect.
• For option D: The vertical axis has uniform spacing (0, 2, 4, 6, 8 with equal intervals), so D is incorrect.
• For option E: The vertical axis is labeled with numbers but not with what those numbers represent (e.g., "Number of Households" or "Frequency"), and the horizontal axis is labeled "Number of Pets" but the vertical axis lacks a complete label. So E is correct.
• For option F: Since there are misrepresentation issues (B and E), F is incorrect.

Answer:

B. The horizontal spacing is not uniform.
E. The axis labeling is not complete.