Chapter 3: Representations of Data

Question 1

What is an outlier?

Answer 1

✯ Outlier: An extreme value that falls outside the data set.

Question 2

What are the two tests for outliers?

Answer 2

✯ Quartiles Test

✯ Mean & Standard Deviation Test

Question 3

in terms of limits, how do we justify outliers?

Answer 3

✯ Any data value > upper limit is defined as an outlier.

✯ Any data value < lower limit is also defined as an outlier.

Question 4

What should I look out for when comparing data?

Answer 4

✯ When comparing data, a measure of location and a measure of spread should be compared interpreted in the context of the question.

Question 5

When can we use information to draw a histogram?

Answer 5

✯ Grouped continuous information can be represented in a histogram

Question 6

How do we find the median, lower quartile, upper quartile in a histogram?

Q2, Q1, Q3

Answer 6

✯ Use linear interpolation

Question 7

If the mean>median, what does that mean in terms of the distribution?

Answer 7

✯ Positive Skew

Question 8

If the median>mean, what does that mean in terms of the distribution?

Answer 8

✯ Negative Skew

Question 9

When the data is skewed, which is better mean, mode or median?

Answer 9

✯ Median as it not affected by extreme values.