Question

57

61
50
54
54
54
56
54
61
54
48
49
42
51
61

57
68
65
50
51
60
52

57
51
52
47
56
62
69

58
49
56
55
55
43
64

57
64
46
55
51
55
46


Before you can make a frequency table, you need to decide how to set up the age intervals. What is the BEST way to group these ages into six intervals?

Answer 1

I would look through the numbers to determine their range. It appears to me to be 42 to 69. This suggests a frequency table with numbers 40 to 70, a range easily divided into 6 parts.

Since the width of each group will be (70 -40)/6 = 5, you have to decide on the group boundaries. It might work well to subtract 1/2 from the numbers 40, 45, 50, 55, 60, 65 to define the boundary. That way, for the integers given, you have
.. group 1 = 40 ≤ age < 45
.. group 2 = 45 ≤ age < 50
.. group 3 = 50 ≤ age < 55
.. group 4 = 55 ≤ age < 60
.. group 5 = 60 ≤ age < 65
.. group 6 = 65 ≤ age < 70