Which of the following could be intervals on the same frequency table? A. 0-5 and 5-10 B. 1-5 and 6-10 C. 0-5 and 6-10

Question

Which of the following could be intervals on the same frequency table?

A.
`0-5` and
`5-10`
B.
`1-5` and
`6-10`
C.
`0-5` and
`6-10`

Answer 1

Only B could be an interval of the same frequency table.

Here's why: 1 - 5 is equivalent to 1, 2, 3, 4, 5 (5 digits), and 6 - 10 is eq. to 6, 7, 8, 9, 10 (5 digits). The interval widths must be the same for all subintervals.

Note that 0-5 contains 6 (not 5) members.

Eliminate A because the endpoint 5 shows up twice. This is not allowed.