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 minimum value for dot - plot

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

Step2: Count numbers greater than 2 in data set

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 values in the data set range from 0 to 6. Intervals of 0 - 2, 3 - 4, 5 - 6 are reasonable to group the data for a histogram.

Step4: Analyze number of bars in histogram

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

Step5: Consider 0 value in histogram

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

Answer:

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.