OLNA - Online Literacy and Numeracy Assessment Numeracy: Statistics and Probability Questions and Answers

Question 1

A bag contains 15 marbles: 6 are red, 5 are blue, and 4 are green. If one marble is drawn at random, what is the probability that it is blue?

Accepted Answer

1/3

Answer

Probability is calculated as the number of favourable outcomes divided by the total number of possible outcomes. There are 5 blue marbles (favourable outcomes) and a total of 15 marbles (6+5+4). Therefore, the probability is 5/15, which simplifies to 1/3.

Question 2

A student's test scores for the semester are: 88, 92, 84, 92, 78. What is the median of these scores?

Accepted Answer

88

Answer

The median is the middle value in a data set when the numbers are arranged in order. First, order the scores from lowest to highest: 78, 84, 88, 92, 92. The middle number in this ordered set is 88.

Question 3

The table below shows the preferred sport for a group of Year 9 and Year 10 students. How many Year 10 students prefer Soccer?

Accepted Answer

18

Answer

To find the number of Year 10 students who prefer Soccer, locate the 'Year 10' row and the 'Soccer' column. The value in the cell where this row and column intersect is the answer. In the table, the intersection of the 'Year 10' row and the 'Soccer' column is 18.

Question 4

A weather forecast predicts a 75% chance of rain on Tuesday, a 1/2 chance of rain on Wednesday, and a 0.8 chance of rain on Thursday. On which day is it most likely to rain?

Accepted Answer

Thursday

Answer

To compare the likelihoods, convert all probabilities to the same format (e.g., decimals or percentages). Tuesday: 75% = 0.75. Wednesday: 1/2 = 0.50. Thursday: 0.8 = 0.80. The highest value is 0.80, which means Thursday is the most likely day for rain.

Question 5

The daily maximum temperatures (in degrees Celsius) recorded for one week were: 25, 28, 22, 31, 27, 24, 29. What is the range of these temperatures?

Accepted Answer

9

Answer

The range of a data set is the difference between the highest and lowest values. The highest temperature is 31°C and the lowest is 22°C. The range is 31 - 22 = 9.

OLNA - Online Literacy and Numeracy Assessment Practice Test

OLNA - Online Literacy and Numeracy Assessment Practice Test

OLNA - Online Literacy and Numeracy Assessment Numeracy: Statistics and Probability Questions and Answers