The mean score of a competency test is 72, with a standard deviation of 4. Between what two values do about 68% of the values lie? (Assume the data set has a bell-shaped distribution.)
a Between 64 and 80
b Between 56 and 88
c Between 68 and 76
d Between 60 and 84
Sol:
For normal or bell shaped distribution
According to empirical rule 68% of the value lies within one standard deviations of the mean
mean-sd and mean+sd
72-4 and 72+4
68 and 76
ANSWER:
c Between 68 and 76
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