Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

 A B C D Homework

Solutions for Session 3, Homework

See solutions for Problems: H1 | H2 | H3 | H4 | H5 | H6

Problem H1

Interval

Frequency for Interval

 30 to < 35 2 35 to < 40 2 40 to < 45 1 45 to < 50 0 50 to < 55 6 55 to < 60 11 60 to < 65 9 65 to < 70 9 70 to < 75 4 75 to < 80 3 80 to < 85 1 85 to < 90 3 90 to < 95 1

 Problem H2

Problem H3

 Interval Relative Frequency Fraction Decimal %
 30 to < 35 2/52 .059 3.8 35 to < 40 2/52 .118 3.8 40 to < 45 1/52 .038 1.9 45 to < 50 0/52 .038 0.0 50 to < 55 6/52 .019 11.5 55 to < 60 11/52 .000 21.2 60 to < 65 9/52 .115 17.3 65 to < 70 9/52 .212 17.3 70 to < 75 4/52 .173 7.7 75 to < 80 3/52 .173 5.8 80 to < 85 1/52 .077 1.9 85 to < 90 3/52 .058 5.8 90 to < 95 1/52 .019 1.9

Problem H4

 Interval Cumulative Frequency Relative Cumulative Frequency Fraction %
 30 to < 35 2 2/52 3.8 35 to < 40 4 4/52 7.7 40 to < 45 5 5/52 9.6 45 to < 50 5 5/52 9.6 50 to < 55 11 11/52 21.2 55 to < 60 22 22/52 42.3 60 to < 65 31 31/52 59.6 65 to < 70 40 40/52 76.9 70 to < 75 44 44/52 84.6 75 to < 80 47 47/52 90.4 80 to < 85 48 48/52 92.3 85 to < 90 51 51/52 98.1 90 to < 95 52 52/52 100

 Problem H5 All of the response times are between 30 and <95 seconds. There is a concentration of responses (42 of 52) between 50 and < 80 seconds. The most frequently occurring interval is from 55 to < 60 seconds, followed by both 60 to < 65 seconds and 65 to < 70 seconds.

 Problem H6 Yes, questions (g) and (h) can now be answered, since the intervals are broken up by fives. The only question that still cannot be answered is (i), the percentage of responses that are equal to 60 seconds.