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 are 6, 4, 4, 4, 5, 3, 3. There are 7 such numbers. So a dot - plot would show 7 points for numbers greater than 2.

Step3: Determine histogram intervals

The values in the data set 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

The number of intervals determines the number of bars in a histogram. With 3 intervals (0 - 2, 3 - 4, 5 - 6), there are 3 bars, not 7.

Step5: Analyze bar 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.