Ch. 2
Fowler and Christakis (2008) report that personal happiness tends to be associated with having a social network including many other happy friends. To test this claim, a researcher obtains a sample of n=16 adults who claim to be happy people and a similar sample of n=16 who describe themselves as neutral or unhappy. Each individual is then asked to identify the number of their close friends whom they consider to be happy people. The scores are as follows: happy: 8,7,4,10,6,6,8,9,8,8,7,5,6,9,8,9 unhappy: 5,8,4,6,6,7,9,6,2,8,5,6,4,7,5,6 Sketch a polygon showing the frequency distribution for the happy people. In the same graph, sketch a polygon for the unhappy people. (Use 2 different colors or use a solid line for one polygon and a dashed line for the other.) Does one group seem to have more happy friends?
:) :( X F X F 4 1 2 1 5 1 3 0 6 3 4 2 7 2 5 3 8 5 6 5 9 3 7 2 10 1 8 2 9 1 Then just make a line graph like the picture :)
Place the following scores in a frequency distribution table. Based on the frequencies, what is the shape of the distribution? 13, 14, 12, 15, 15, 14, 15, 11, 13, 14, 11, 13, 15,12, 14,14, 10, 14, 13, 15
X F *negatively skewed 10 1 11 2 12 2 13 4 14 6 15 5
Place the following set of n=20 scores in a frequency distribution table: 6, 2, 2, 1, 3, 2, 4, 7, 1, 2, 5, 3, 1, 6, 2, 6, 3, 3, 7, 2
X F F/N F/N(100) 9 2 .1 10% 8 3 .15 15% 7 5 .25 25% 6 4 .2 20% 5 3 .15 15% 4 2 .1 10% 3 1 .05 5%
Find each value requested for the distribution of scores in the following table: a. n b. EX c.EX^2 X F 5 1 4 2 3 3 2 5 1 3
a. n=14 b. EX= 26 c. EX^2= 107
Each year the college gives away T-shirts to new students during freshman orientation. The students are allowed to pick the shirt sizes that they want. To determine how many of each size shirt they should order, college officials look at the distribution from last year. The following table shows the distribution of shirt sizes selected last year: X F S 27 M 48 L 136 XL 120 XXL 39 a.) What kind of graph would be appropriate for showing this distribution? b.) Sketch the frequency distribution graph.
a.) bar graph b.)
