Question

3. The following table gives the scores for two groups of psychology students on survey of Cognitive Psychology Skills. (15 points) a. Construct one graph that has two frequency polygons, one for each group. b. Compare the two distributions - which group had higher scores, describe the curves (symmetrical, positively/negatively skewed), etc Cognitive Psychology Skills Scores Group A Group B 170-174 165-169 160-164 155-159 150-154 145-149 140-144 135-139 130-134 125-129 120-124 13 19 20 26 19 14 10 12 24 35 opOO 115-1191 9 N-141 N- 141
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Answer #1

First we need to calculates mid point of the classes. Following table shows the same:

Cognitive Psychology skills scores Mid Point Group A Group B 0 Lower limit Upper limit 112 110 115 120 125 130 135 140 145 150 155 160 165 170 175 114 119 124 129 134 139 144 149 154 159 164 169 174 179 0 4 6 122 127 132 137 142 147 152 157 162 167 172 4 10 14 19 26 20 19 13 35 24 12 0 0

using excel line graph, following is the required frequency polygon:

40 ך 35 30 25 Group A Group B 15 10 0 112 117 122 127 132 137 142 147152 157 162 167 172 177 Cognitive Psychology skills scores

(b)

For group B distribution is approximately symmetric while for group A it is skewed to left.

It seems that group B has higher score.

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