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Frequency Distribution and Percentile Rank

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1. The following are marks obtained by a group of 40 students on an English examination:
42 88 37 75 98 93 73 62
96 80 52 76 66 54 73 69
83 62 53 79 69 56 81 75
52 65 49 80 67 59 88 80
44 71 72 87 91 82 89 79
Prepare a chart showing:
A.Frequency distribution and a cumulative frequency distribution for these scores, using a class interval of 5
B.The exact limits and the midpoints of the class intervals for the frequency distribution
C.The cumulative percentage frequency distribution
D.Prepare a histogram and a frequency polygon for the above data
E.For the scores in question one, calculate:
1)The percentile rank of someone who scores an 83
2)The score that falls at the 70th percentile

2 : Prepare a frequency distribution, and cumulative percentage distribution for the following scores:
2 11 6 4 18 1 9 2 2 15
8 16 12 11 17 3 3 5 3 7
11 9 5 16 16 16 4 9 5 7
4 10 4 4 15 15 5 5 11 18
5 10 9 8 7 7 2 6 13 1

3. Prepare a histogram and a frequency polygon for the above data
20. For the scores in question 2 above, calculate
1)The percentile rank for someone who scores a 14
2)That scores that falls at the 66th percentile