Representations of data C3

Question 1

How do we work out outliers. by using the IQR? (2)

Answer 1

Any outlier is a value that is:
⇒ GREATER than: Q₃ + k(Q₃-Q₁) (1)
⇒ LESS than: (Q₁ − k(Q₃−Q₁) (1)

Question 2

How do we work out outliers. by using the σ and x̅? (2)

Answer 2

⇒ x̅ + k(σ) (1)

⇒ x̅ − k(σ) (1)

Question 3

When comparing data, what does a higher median, and mean insinuate about the data? (2)

Answer 3

⇒ Higher median: Higher average (1)

⇒ Higher mean: Higher average (1)

Question 4

When comparing data, what does a higher IQR and σ insinuate about the data? (2)

Answer 4

⇒ Higher IQR: less consistent data (1)

⇒ Higher σ: Less consistent data (1)

Question 5

State the formula for frequency density? (1)

Answer 5

⇒ Frequency density = Frequency ÷ Class width (1)