Mean
The _______________ of a set of numbers. Find it by adding all the numbers together and _________________ by how many numbers there are.
average, dividing
The _______________ number in a data set when the numbers are put in ____________.
middle, order
The number that appears the ____________ often in a data set.
most
Qualitative Data: Qualitative data is ______________________information based on qualities, opinions, or behaviors (answers why or how).
Quantitative Data: Quantitative is information that can be counted or measured in ______________ (answers how many, how much, or how often).
descriptive, numbers
Theoretical Probability: The probability of an event based on what should happen __________________.
Experimental Probability:The probability of an event based on ___________ experiments or observations rather than theory.
mathematically, actual
The test scores of 7 students are: 82, 90, 75, 90, 88, 75, 92.
a.) Find the mean score.
84.57
The test scores of 7 students are: 82, 90, 75, 90, 88, 75, 92.
b.) Find the median score.
88
The test scores of 7 students are: 82, 90, 75, 90, 88, 75, 92.
c.) Find the mode(s).
d.) Find the range.
Mode = 75 and 90 (both appear twice)
Range = 92 - 75 = 17
A circle graph shows favourite pets:
Dogs: 45%
Cats: 30%
Fish: 10%
Other: ?
What percentage represents "Other"? How do you know?
15% because all percentages must add up to 100%.
A student rolls a die 50 times. The results show:
Rolled a 1: 8 times
Rolled a 2: 7 times
Rolled a 3: 10 times
Rolled a 4: 12 times
Rolled a 5: 6 times
Rolled a 6: 7 times
What is the experimental probability of rolling a 4?
12/50 = 6/25
Two basketball teams recorded their total points for five games.
Team A: Team B:
72, 75, 78, 80, 85 50, 70, 80, 90, 102
a.) Find the mean of each team.
b.) Which team performed better based on the mean?
c.) Which team had more consistent results? How do you know?
a.) Mean Team A: 78 Mean Team B: 78.4
b.) Which team performed better based on the mean? Team B
c.) Which team had more consistent results? How do you know? Team A because it is a smaller range.
Find the median: 34, 18, 42, 27, 31, 50, 22, 45
How is the median determined when the data set has an even number in it?
Median = 32.5
Because an even number in the data set means there will be 2 middle numbers when put in order. You must calculate the middle number between the two medians. You can do this by adding the 2 medians and dividing by 2.
Which data set has the largest range?
a.) 5, 10, 15, 25
b.) 12, 15, 18, 20
c.) 30, 32, 35, 38
d.) 100, 105, 110, 115
a.) 5, 10, 15, 25
range = 20
A class survey asked students about favourite sports:
Soccer: 12 students
Basketball: 8 students
Hockey: 10 students
Volleyball: 5 students
a.) What is the total number of students?________
b.) What percentage should each section represent?
Soccer: _____
Basketball: _____
Hockey: _____
Volleyball: _____
Total = 35 students
Soccer: 34%
Basketball: 23%
Hockey: 29%
Volleyball: 14%
A coin was flipped 100 times and landed on heads 58 times.
a.) What is the experimental probability of heads?
b.) What is the theoretical probability of heads?
c.) Why might they be different?
a) 58/100 = 58%
b) 1/2 = 50%
c) Random chance/variation
A group of students recorded the number of hours they studied: 2, 3, 3, 4, 5, 6, 25
a.) Identify the outlier.
b.) Find the mean including the outlier.
c.) Find the mean without the outlier.
d.) How do outliers affect the mean?
a.) 25
b.) 6.9
c.) 3.8
d.) Outliers (extremely high or low values) pull the mean toward themselves, causing it to become misleading.
A teacher recorded the number of minutes students spent reading each night. Which measure of central tendency best represents the typical reading time? Explain.
20, 25, 30, 35, 40, 180
Median is 32.5 because 180 is an outlier and affects the mean.
The distances (in km) run by 12 students in a week are:
3.2, 4.5, 3.8, 5.1, 4.5, 6.0, 3.2, 4.9, 5.1, 4.0, 3.8, 4.5
1.) 6.0 − 3.2 = 2.8 km
2.) 6.3 − 3.2 = 3.1 km
Selena has a business selling her artwork. She kept track of her sales each day last week. If she sold 5/50 pieces on Wednesday, what would this be as a percent and angle measure?
10 % & 36 degrees
A coin is flipped and a 6-sided die is rolled. What is the probability of getting heads and an even number?
Fraction:
Decimal:
Percent:
Fraction: 1/4
Decimal: 0.25
Percent: 25%
The mean of the following numbers is 18:
12, 15, 20, 17, ___, 25
What is the missing number? Show your work.
19
The test scores (out of 50) for 10 students are:
31.5, 28.4, 35.2, 30.8, 27.6, 33.9, 29.1, 34.5, 32.0, 30.2
Find the median score.
31.15
The times (in seconds) it took 12 students to complete a puzzle are:
12.4, 11.8, 13.2, 12.0, 11.5, 13.0, 12.7, 11.9, 12.3, 13.1, 12.6, 11.6
Find the mode of the data set.
No mode
Selena has a business selling her artwork. She kept track of her sales each day last week. If she sold 10/50 pieces on Sunday, what would this be as a percent and angle measure?
20% & 72 degrees
Two 6-sided dice are rolled. What is the probability of rolling a sum of 8?
5/36 (Outcomes: 2+6, 3+5, 4+4, 5+3, 6+2)