question archive In a certain university, the ?nal percentage marks of 20 students on a particular degree programme were as follows: 47 52 53 65 49 49 30 51 46 48 59 63 44 44 73 62 61 71 59 38 (a) Prepare a stem—and—leaf diagram representing these data
In a certain university, the ?nal percentage marks of 20 students on a particular degree programme were as follows: 47 52 53 65 49 49 30 51 46 48 59 63 44 44 73 62 61 71 59 38 (a) Prepare a stem—and—leaf diagram representing these data
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In a certain university, the ?nal percentage marks of 20 students on a particular degree programme were as
follows: 47 52 53 65 49 49 30 51 46 48 59 63 44 44 73 62 61 71 59 38 (a) Prepare a stem—and—leaf diagram
representing these data. (b) Calculate the sample mean and variance of the data. Show your working.
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Sample Mean = 53.2
Variance = 118.2737
Step-by-step explanation
solution ( a) A stem and leaf diagram From the data given is Steam heaf 3 0 8 4 4 4 6 7 8 9 9 5 2 3 9 9 6 1 2 3 5 7 3 To make the plot you consider! numbers under 30s, 40's 50's , 60's and fo's . For Instance , we have bob two of them 30, 38 ( b ) The mean = c = 2x * = 1064 = 53 2) e The variance - 5 ( se - xc ) h - L Variance = S (30 - 53.2 ) +---+(73- 53.2) 20 - 1 Variance = 2247 . 2 19 11 8 . 27 37
Please see attached file
