Question

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

1. a correlation coefficient; association; the distribution is curvilinear

2. the median; variation; the distribution is normal

3. the standard deviation; variation; there is an outlier

4. the mode; frequency; the distribution is positively skewed

5. the mean; central tendency; the distribution is normal

6. z score; standard score; there are outliers

Answer 1

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