the data show the number of pieces of mail delivered to a single home address each day for three weeks. 4…

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.
Answer
Explanation:
Step1: Analyze the data range
The data set is (4,0,2,6,1,0,3,4,0,2,4,1,5,2,3,1,1,2). The smallest value is (0) and the largest is (6).
Step2: Evaluate dot - plot statement 1
For a dot - plot, since the smallest value is (0), the number line should start at (0), not (1). So the statement "The number line of a dot plot would start at 1" is false.
Step3: Evaluate dot - plot statement 2
Count the numbers greater than (2) in the data set: (4) appears (3) times, (6) appears (1) time, (3) appears (2) times, (5) appears (1) time. (3 + 1+2 + 1=7). So a dot - plot would show 7 points for numbers greater than (2). This statement is true.
Step4: Evaluate histogram statement 1
Given the data range from (0) to (6), intervals of (0 - 2), (3 - 4), and (5 - 6) are reasonable to group the data. So the statement "The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6" is true.
Step5: Evaluate histogram statement 2
With intervals (0 - 2), (3 - 4), (5 - 6), there are only 3 intervals, so a histogram would have a maximum of 3 bars, not 7. This statement is false.
Step6: Evaluate histogram statement 3
Since (0) is in the data set, a histogram should show a bar that includes (0) pieces of mail. This statement is false.
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.