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 dot - plot start value

The data set has a value of 0. So, the number line of a dot - plot should start at 0, not 1. So the first option is false.

Step2: Count points greater than 2 in dot - plot

The numbers greater than 2 in the data set 4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2 are 4, 6, 3, 4, 4, 5, 3. There are 7 such numbers. So a dot - plot would show 7 points for numbers greater than 2.

Step3: Determine histogram intervals

The data values range from 0 to 6. Appropriate intervals for a histogram could be 0 to 2, 3 to 4, and 5 to 6.

Step4: Analyze number of histogram bars

With the intervals 0 - 2, 3 - 4, 5 - 6, a histogram would have 3 bars, not 7.

Step5: Check for 0 in histogram

Since 0 is in the data set, a histogram should show a bar that includes 0 pieces of mail.

Answer:

B. A dot plot would show 7 points for numbers greater than 2
C. The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6