Mean
Median
Mode & Range
Standard Deviation
Bivariate Data
100
Find the mean for the following set of data:
9,7,6,8,6,9,7,4,9,7,6
What is 7.09 ?
100
Find the median of the following set of data:
2,8,9,12,1,41,13,13,18
What is 12?
100
Find the mode of the following set of data: 16,18,18,14,17
What is 18?
100
What is the standard deviation of the following set of data:
18,19,22,11,14,18,22,42
What is 10.14?
100
A scatter plot shows the relationship between hours studied and test scores.
Describe the likely association (positive, negative, or none) and explain why.
Positive correlation
200
Find the mean of the following set of data:
29,38,30,40,39,38
What is 35.7?
200
Find the Median of the following set of data:
84,100,82,92,100
What is 92?
200
What is the range of the following set of data:
16,18,18,14,17
What is 4?
200
What is the standard deviation of the following set of data:
2,1,11,18,118,224,38,121,2
What is 73.7?
200
A graph shows that as time spent on social media increases, hours of sleep decrease.
- What type of correlation is this?
- Sketch or describe what the scatter plot would look like.
Negative, teacher to check scatterplot.
300
Calculate the mean result for class A below:
85.7
300
The median of the set:
4, x, 10, 12, 16
is 11.
Find the value of x.
x=11
300
The range of a set of numbers is 25.
The smallest number is 12.
Find the largest number.
37
300
Two data sets are given:
- Set A: 5, 10, 15, 20, 25
- Set B: 12, 14, 15, 16, 18
Without fully calculating, predict which set has the larger standard deviation.
Set A
300
A study finds a correlation between shoe size and reading ability in children.
Does this mean having bigger feet causes better reading? Explain.
No, because correlation does not always mean that they cause each other (correlation is not causation)
400
The mean of the numbers 6, 8, x, 14, 12 is 10.
Find the value of x.
10
400
Find the median result in Class B:
75.5
400
The range of a data set is 18.
If the smallest value increases by 4, what is the new range?
14
400
A class of students recorded the number of hours they studied for a test:
4, 5, 6, 5, 7 hours
Calculate the standard deviation of the study times.
What does this tell you about how similar their study habits were?
1.02
The study times are relatively similar.
400
Give a real-life example of two variables that would likely have:
- (a) strong positive correlation
- (b) strong negative correlation
- (c) no correlation
Teacher to judge
500
The mean of 8 numbers is 18.
When an extra number is added, the mean becomes 20.
What is the value of the new number?
36
500
The median of the numbers
5, 7, 9, 12, 15
is calculated. A new number is added, and the median becomes 10.5.
What number was added?
12
500
What is the mode AND range of the histogram above. Use the class centres to answer.
Mode = 77.5
Range = 25
500
Two basketball teams recorded the points scored per game:
- Team A: 10, 12, 14, 16, 18
- Team B: 13, 14, 14, 15, 14
Which team is more consistent? Points will be awarded only if the correct data calculation is performed.
Standard deviation:
- Team A = 2.83
- Team B = 0.63
- Team B is more consistent (scores are closer to the mean).
500
Define extrapolation
Extrapolation is the process of using data to estimate, predict, or draw conclusions about something that is unknown or happens beyond your current range