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 contains 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 3 (2 times), 4 (3 times), 5 (1 time), 6 (1 time). \(2 + 3+1 + 1=7\). So a dot - plot would show 7 points for numbers greater than 2.

Step3: Determine histogram intervals

The data values are 0, 1, 2, 3, 4, 5, 6. Appropriate intervals for a histogram could be 0 - 2, 3 - 4, 5 - 6.

Step4: Analyze number of histogram bars

The number of intervals chosen for the histogram determines the number of bars. With 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 for the interval that includes 0.

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.