Solution:-
Mean = 71, S.D = 12
7) (d) The difference between the two missing percentile ranks is 15.
P10 = 10
PQ1 = 25
Difference = 25 - 10
Difference = 15
8) (B)
Since the mean is to the left of the median, the distribution is negatively skewed.
9) (c) 81.5%
In symmetrical distribution, the approximate percentage of data values that lie between two standard deviation below the mean and one standard deviation above the mean is
P( -2 < z < 1) = 0.475 + 34
P( -2 < z < 1) = 0.815
P( -2 < z < 1) = 81.5%
11) (c) P( 5 or 6) = 1/4
Total outcomes = 36
(1,1) | (1,2) | (1,3) | (1,4) | (1,5) | (1,6) |
(2,1) | (2,2) | (2,3) | (2,4) | (2,5) | (2,6) |
(3,1) | (3,2) | (3,3) | (3,4) | (3,5) | (3,6) |
(4,1) | (4,2) | (4,3) | (4,4) | (4,5) | (4,6) |
(5,1) | (5,2) | (5,3) | (5,4) | (5,5) | (5,6) |
(6,1) | (6,2) | (6,3) | (6,4) | (6,5) | (6,6) |
Total number of favourable outcomes = 9
P(5 or 6) = 9/36
P( 5 or 6) = 1/4
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