6. Given the set of 23 numbers below, ____ is the most representative measure of ______, because ______.
1, 25, 4, 5, 16, 6, 17, 8, 10, 12, 14, 14, 13, 9, 12, 14, 19, 5, 20, 13, 21, 22, 15
a correlation coefficient; association; the distribution is curvilinear
the median; variation; the distribution is normal
the standard deviation; variation; there is an outlier
the mode; frequency; the distribution is positively skewed
the mean; central tendency; the distribution is normal
z score; standard score; there are outliers
Sol:
after seeing the qqplot
we see the distribution is normal as there are less deviations from straight line
and no outliers seen from boxplot.
so mean is measure of central tendency
Rcode:
x <- c(1, 25, 4, 5, 16, 6, 17, 8, 10, 12, 14, 14, 13, 9, 12,
14, 19, 5, 20, 13, 21, 22, 15)
mean(x)
boxplot(x)
qqnorm(x)
qqline(x)
Output:
mean=sum of values/total values=295/23= 12.82609
the mean; central tendency; the distribution is normal
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