Penn State Harrisburg-Stat 200 Worksheet 3 Name: Thai 1. Using a back-to-back st
ID: 3353050 • Letter: P
Question
Penn State Harrisburg-Stat 200 Worksheet 3 Name: Thai 1. Using a back-to-back stem-and-leaf display, separate sets of data can more easily be compared. Consider the following display for Midterm scores for two different sections of the same class. 31410-43 in Section 1 and 40 in Section2 Section 1 Section 2 9887755311 5 654410 6 4455578899 00 7 01135556678 8865 8 00255 9977555 9 00 10 00 (o) How mary students took the Midterm in each soction (b) What are the highest and lowest scores earned in Section 1? in Section 27 (c) What is the score with the highest frequency of occurence in Section 1? in Section 2? (d) Which section displays a more consistent mastery of the material? Explain.
Explanation / Answer
(a) The number of students who took the midterm will be equal to the total number of data points shown in this plot. In the plot on left, by counting we see there are total 35 data points or scores. Similarly on the right there are 31 data points. So there are 35 and 31 students from Section 1 and 2 respectively who took the test.
(b) Simply by observing the different scores, we find
Section 1 - Highest 100, Lowest 41
Section 2 - highest 100, Lowest 40
(c) Highest Frequency, Section 1 - 95 (this score occurs 3 times)
Highest Frequency, Section 2 - 75 (this score occurs 3 times)
(d) Section 2 displays a considtent mastery of the subject, because most of its scores are bunched together in the range of mid 60's to mid 80's. Whereas for Section 1, the scores are quite scattered apart.
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