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A teacher wanted to compare the exam marks for 30 of her students (in percentage). Look carefully at the data below.
85 64 51 42 91 41 51 75 69 70
25 51 99 47 25 69 73 10 30 48
84 41 51 97 42 78 67 77 49 69
a) Determine the mode of the data.
b) Determine the mean of the data.
c) Give the range of the data.
d) What percentage of students achieved a mark above 50%?
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Arranging the data in ascending order gives:

10   25   25   30   41   41   42   42   47   48   49   51   51   51   51
64   67   69   69   69   70   73   75   77   78   84   85   91   97   99

a)    Mode: 51 (data with highest frequency)

b)    Mean  = (10 + 25 + 25 + 30 + 41 + 41 + 42 + 42 + 47 + 48 + 49 + 51 +  51 + 51 +  51 + 64 + 67 + 69 + 69 + 70 + 73 + 75 + 77 + 78 + 84 + 85 + 91 + 97 + 99) / 30     = 59,03

c)    Range = 99 − 10 = 89

d)    (19/30) × 100 = 63.33% achieved over 50%
by Diamond (48,498 points)

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