Question: 1. Consider the dataset below: 3 -5 7 4 8 2 8 -3 -6 a) What is the sample size? b) Calculate the sample mean.

1. Consider the dataset below:

3 -5 7 4 8 2 8 -3 -6

a) What is the sample size?

b) Calculate the sample mean.

c) Find the sample median.

d) What is the shape of the distribution?

e) Find Q1, Q2 and Q3.

Handout 3

f) Calculate the inter-quartile range (IQR).

g) Calculate the fences.

h) Does the fence test identify any outliers?

i) Construct a boxplot and label it.

j) Find P30, P60 and P95.

k) Find the five-number summary. What is the five-number summary used for?

l) According to the Empirical Rule, what percentage of the observations in a data set that can be reasonably approximated by a normal curve line within two standard deviations of the mean?

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