VCE Further Maths - Data Analysis Ch1&2 Revision

Data was collected regarding various 'iso' activities. Variables measured included: Average number of minutes taken to bake a cake, Number of puzzles completed, Colours people have dyed their hair, Distance walked by the family dog, Types of workouts completed (1=weights, 2=cardio, 3=yoga/pilates).

How many numerical variables were involved?

• 2

• 3

• 4

• 5

The response variable is always located on

• the horizontal x-axis

• either axis; depends on what suits the data

• the vertical y-axis

• there usually isn't a response variable

A histogram has no spaces between columns and is a graphical way of displaying __________ data, whereas a bar chart has spaces between columns and is designed to display __________ data.

• categorical; numerical

• large set of; small sets of

• boring; interesting

• numerical; categorical

Calculate log₁₀ (456.2) correct to 3 significant figures.

• 2.659

• 2.65

• 2.66

• 3.00

The area of 50 islands was measured in square kilometres and presented in a histogram using a log scale. It was found that 50% of the countries had an area less than the number 3.1 on the log scale. What area does this represent in square kilometres, correct to 2 significant figures?

• $1258.93\ km^2$

• $1200\ km^2$

• $1300\ km^2$

• $1258.92\ km^2$

What is the 5-number summary of this data set?

44, 48, 48, 44, 45, 49, 80, 75, 76

• 44, 48, 75.5, 80, 44.5

• 44, 44.5, 48, 75.5, 80

• 44, 45, 48, 49, 80

• 80, 75.5, 48, 44.5, 44

What is the value of the upper fence for this data set? Are there any outliers at the upper end of the data?

44, 48, 48, 44, 49, 45, 80, 75, 76

• Upper fence = 75; 2 outliers

• Upper fence = 76, 1 outlier

• Upper fence = 100; no outliers

• Upper fence = 122; no outliers

During isolation, the Smith family conducted a study on the number of m&ms in a family-sized pack. They found that the data was approximately normally distributed with a mean of 150 and a standard deviation of 8.

What is the percentage of packs that contain more than 166 m&ms?

• 2.35%

• 2.5%

• 13.5%

• 16%

During the first remote learning period in 2020, the time (in hours) that students spent looking at their computer screen was recorded for 1000 high school students. The distribution of the times was found to be approximately normal with a mean of 4 hours and a standard deviation of 0.6 hours.

The time that 95% of these students spent looking at their screen could be

• less than 2.8 hours

• between 2.8 and 5.2 hours

• between 3.4 and 5.2 hours

• less than 2.8 hours or greater than 5.2 hours

Indi, a toy cavoodle dog, is 28 centimetres tall. If the average height of toy cavoodles is 35 cm, and the standard deviation is 3.5 cm, what is Indi's standardised height?

• 2

• -1

• -2

• -7