Question

the data show the number of pieces of mail delivered to a single home address each day for three weeks.
4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2
which statement is true about a graph representing the data? select two options.

the number line of a dot plot would start at 1.

a dot plot would show 7 points for numbers greater than 2.

the intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.

a histogram would have a maximum of 7 bars.

a histogram should not show a bar that includes 0 pieces of mail.

Explanation:

Step1: Analyze each option

• Option 1: The data has 0, so the number line of a dot plot should start at 0, not 1. So this is false.
• Option 2: Count numbers greater than 2: 3,4,6,4,5,3,4. That's 7 numbers. So a dot plot would show 7 points for numbers >2. This is true.
• Option 3: Intervals should be continuous. 0 - 2, 3 - 4 has a gap (2 to 3), so this is false.
• Option 4: The data values are 0,1,2,3,4,5,6. So a histogram can have intervals covering these, and the maximum number of bars (if each value is a bar) is 7 (for 0,1,2,3,4,5,6). So this is true.
• Option 5: The data has 0, so a histogram should show a bar for 0. So this is false.

Step2: Identify the two true options

From the analysis, the true options are "A dot plot would show 7 points for numbers greater than 2" and "A histogram would have a maximum of 7 bars".

Answer:

B. A dot plot would show 7 points for numbers greater than 2, E. A histogram would have a maximum of 7 bars (assuming the options are labeled as A to F with A being the first, B the second, etc. as per the order: 1st option A, 2nd B, 3rd C, 4th D, 5th E, 6th F. So the correct options are B. A dot plot would show 7 points for numbers greater than 2 and E. A histogram would have a maximum of 7 bars)