Definitions
Pieces of information or facts that are collected for analysis.
Data
Extra 10 points if question is correct. Lose 20 points if question is incorrect.
Favorite fruit of students
Qualitative data- nominal data
Mean of 4, 6, 8
Mean = (4 + 6 + 8) ÷ 3
Mean = 18 ÷ 3
Answer: 6
If correct, 1 extra point.
Median of 3, 6, 9
Median is 6
10–19
20–29
What interval must come next?
30-39
DOUBLE POINTS if correct.
Define statistics
Statistics is the branch of mathematics that deals with collecting, organizing, analyzing, and interpreting data.
Donate 10 points to a team of your choice if incorrect.
Number of students in a classroom
Quantitative data- Discrete data
Extra 15 points if correct. Lose 25 points if incorrect.
Mean of 5, 7, 9, 11
Mean = (5 + 7 + 9 + 11) ÷ 4
Mean = 32 ÷ 4
Answer: 8
If incorrect, lose 10 points.
Mode of 7, 5, 6, 5, 4
Mode= 5
1 extra point if correct
Scores: 55, 60, 62, 70, 78, 82
Find the range.
Answer:
Range = 27
Lose 100 points if incorrect.
Define qualitative data and give an example.
Qualitative data are data that describe qualities or categories and are not numerical.
Example: eye colour, favourite food, or type of pet.
Students ranked 1st, 2nd, 3rd in a race
Qualitative data- Ordinal data
Extra 15 points if correct. Lose 50 points if incorrect.
Marks: 60, 65, 70, 75, 80
Mean = (60 + 65 + 70 + 75 + 80) ÷ 5
Mean = 350 ÷ 5
Answer: 70
Mode of 31, 42, 42, 54, 12, 68, 67, 54
Mode= 42 and 54
The following numbers represent the number of books students read in a month:
2, 3, 2, 4, 5, 3, 2
State the frequency of 2.
Answer:
2 appears 3 times.
Lose 15 points if incorrect.
Define quantitative data and state the two types.
Quantitative data are numerical data that can be counted or measured.
The two types are discrete data and continuous data.
Extra 20 points if question is correct. Lose 10 points if question is incorrect.
Height of students in centimetres
Quantitative data- Continuous data
The mean of 2, 4, 6, 5, 4 and x numbers is 4. What is x?
x= 3
Find the median of the following numbers:
24, 74, 12, 77, 90, 46, 11, 100
Median= 60
The data set is:
12, 15, 17, 12, 18, 20, 15, 15, 17, 19
Find:
The frequency of 15
The total number of data
The most frequent value
Answer:
Frequency of 15 = 3
Total observations = 10
Most frequent value = 15
Define nominal data and ordinal data, and state the difference between them.
The difference is that ordinal data show order while nominal data do not.
Test score
Quantitative data- discrete data
If correct, steal 10 points from a team of your choice. If incorrect, donate 10 points to a team of your choice.
Mean of five numbers 10, 15, x, 25 and 20 is 18.What is x?
x= 20
Extra 50 points if correct. Lose 50 points if incorrect.
Median and Mode of
5, 7, 7, 8, 9, 10, 10, 10
Median = average of the two middle numbers (8 and 9)
Median = (8 + 9) ÷ 2
Median = 8.5
Mode = number appearing most often = 10
Answer:
Median = 8.5
Mode = 10
Extra 50 points if correct.
The weights (kg) of athletes are:
58, 62, 65, 70, 72, 75, 80, 85
Find:
The range
The new range if the heaviest athlete (85 kg) is removed
Answer:
Original range = 85 − 58 = 27
New range = 80 − 58 = 22
Extra 50 points if correct.