Question

Mother's age 18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,51

Female 1, 0, 2, 2, 3, 4, 7, 3, 2, 4, 7, 1, 6, 4, 5, 3, 1, 4, 0, 1, 1, 1, 0, 1, 0

Use the stem and leaf plots that you previously created to help you draw and label histograms on your scratch paper with bin width of 2 for mothers's age at birth of female students and for mother's age at birth of male students. Make the lower bound of your first bin 16.

Comment: Bin width of 2 is not a typo. Yes, your stem and leaf plot has bins of 5 so some thinking is required, but at least your stem and leaf plot has the values in order for you.

• Stem
  1
  1
  2
  2
  3
  3
  4
  4
  5

  Stem	Leaf
  1
  1	8
  2	0	0	1	1	2	2	3	3	3	3	4	4	4	4	4	4	4
  2	5	5	5	6	6	7	7	7	7	8	8	8	8	8	8	8	9
  3	0	0	0	0	0	0	1	1	1	1	2	2	2	2	2	3	3	3	4
  3	5	5	5	5	7	8	9
  4	1
  4
  5

Answer 1

Histogram for mothers's age at birth of female students

class width is 2 and the starting class value is 16.

We create the following classes

class
16-17
18-19
20-21
22-23
24-25
26-27
28-29
30-31
32-33
34-35
36-37
38-39
40-41
42-43
44-45
46-47
48-49
50-51

Next we count the number of observation belonging to each class using the stem and Leaf or the data and get the following

class	Frequency
16-17	0
18-19	1
20-21	4
22-23	7
24-25	10
26-27	6
28-29	8
30-31	10
32-33	8
34-35	5
36-37	1
38-39	2
40-41	1
42-43	0
44-45	0
46-47	0
48-49	0
50-51	0

Next we plot this and label as needed

Similarly we do the above for males students

Note: The previously drawn stem and leaf for female students has 1 missing entry for 22