Looking back at the three plots (Figures 3-6) we can see that honesty is the characteristic that is consistently important in a romantic partner. This indicates that the characteristic finished education wasn’t consistently rated as either important or unimportant – views were quite varied.įigure 6: Figure 3.11 (reproduced): Histogram of the ratings for the characteristic 'honesty' Puzzle 10īased on the histograms and polygons for the previous three Puzzles, what characteristic do the women in the sample most consistently find important in a romantic partner: attractive appearance, creativity or honesty? Explain your answer.
Looking at the histogram, we can see that the scores are spread out across the whole scale, there is no accumulation of scores at either end of the scale. Your hand-drawn histogram should look like Figure 2. Do you think most of these women think that it is important that their relationship partner finished their college education? Here are the ratings of the 20 women in the chapter for the characteristic finished education: 9, 8, 5, 4, 7, 3, 10, 7, 6, 4, 4, 8, 9, 1, 7, 3, 7, 6, 10, 9. Zach was worried that he was unappealing to women because he dropped out of college. Therefore, 60% of adolescent women (in this sample) thought that it was important that their partners wanted to have children in the future. Therefore, 40% of the sample gave a rating in the ‘unimportant’ category, which means that 60% gave a rating of 6 or more (i.e.
If we look at the cumulative percentage column in Table 1, we can see that the cumulative percentage of the response of 3 was 40%. in the unimportant category) in the data was 3. Table 1: Frequency distribution of ratings of ‘wants to have children’ as a characteristic in a romantic partner, including frequencies, relative frequencies, percentages, cumulative percentages and cumulative percentages Ratingįor the data in the previous question, remembering that scores of 0–5 mean ‘unimportant’ and 6–10 mean ‘important’, what percentage of adolescent women in this sample thought that it was important that their partners wanted to have children in the future? The answers to this puzzle can be found in Table 1. Produce a frequency table of these data that includes: frequencies, relative frequencies, percentages, cumulative frequency, cumulative percentage
In this chapter Zach looked at 20 women’s ratings of how important certain characteristics are in romantic partners. Your hand drawn graph should look something like the one in Figure 1.įigure 1: Histogram of RAS scores Puzzle 3 \text \times 100ĭraw the frequency distribution of the RAS scores (with scores not grouped by class intervals). Relative frequency is the frequency of a score, range of scores or category expressed relative to the total number of observations:.Frequency is the number of times that a score, range of scores or category occurs.We can conclude that the state space is split in two disconnected halves, one having $N \bmod = 0$ and the other having $N \mod 2 = 1$.Describe the following terms: frequency, relative frequency, proportion and percentage. So $N \bmod 2$ is invariant under any legal move of the empty tile. We define $N_j$ as the number of tiles $T_i$, $i < j$ that appears after $T_j$. Given a state $S$ a permutation inversion is a tile $T_i$ that is placed after $T_j$ but $i < j$ this happens when (a) $T_i$ is in the same row of $T_j$, but on its right, or (b) $T_i$ is in a lower row. Without loss of generality we can assume that the target state is $1\ 2\ 3\. This is an expansion of this presentation.īecause the state graph consists of two disconnected components of equal size.
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