what is a sample
what is a population
the group you are wanting to study
what is a proportion
is a way to show how much of something there is compared to the whole
what is mean and median?
Mean is the average
Median is the middle number
what is shape? what is center? and what is spread?
Shape: what a distribution looks like (symmetric, right and left skewed)
Center: tells us what a "typical" value looks like (mean, median)
Spread: how far apart the numbers are (range)
explain why it is better to use a sample instead of surveying the entire population
the basketball coach wants to find out how many players get at least 8 hours of sleep. She surveys the varsity team. What is the population?
all players on the varsity basketball team
36 pages. or 36/45
what is mad?
mean absolute deviation
a way to measure how spread out the data is around the mean
How do you find range?
Find it for this data set
25, 34, 20, 19, 29, 23, 30, 31
range = largest - smallest number
34-19 = 15
yes, because it includes students from all grade levels and is likely to represent the whole school
a fitness app company analyzes step data from 2,000 randomly selected users over a 3 month period to improve its exercise recommendations. What is the population?
all users of the fitness app
what is the formula we use to determine a proportion?
members of a sample with attribute/ total sample size
what numbers does the 5# summary consist of?
minimum, Q1, median, Q3, maximum
what measure of center do I use if my data is skewed?
median
your principal wants to know what after- school clubs students are interested in. She surveys only students in the art club. What would make this sample better?
survey students from many different clubs or randomly selected students from the whole school
a professor surveys 100 college students to learn about student debt and financial stress. What is the population the professor wants to understand?
all college students in the US
in a group of 40 students, 10 choose mint chocolate chip as their favourite. Estimate how many out of 100 students might choose mint chocolate chip?
25/100 students
What are the 5 steps to find IQR?
find it for this data set
55, 62, 78, 90, 35, 21, 62, 89
1. put your data in order
2. find the median
3. split your data into the lower and upper half
4. find the middle number of those halves
5. subtract Q3 from Q1
IQR = 38.5!
they are about the same
you estimate the 60% of students like basketball. You got this from a sample of 5 people. Your friend estimates this might not be accurate. Who is right and why?
your friend is right - 5 people is not enough
a health organization sends surveys to 300 fast food customers who made purchases on a Monday. What is the population?
all fast food customers on mondays
Out of 30 students, 18 said they watched a movie last weekend? Estimate how many out 90 students probably did too.
54/90 students
find the mad
32, 43, 56, 87, 30, 63, 55
mad = 14.75
what is a good example of data that would be skewed left. (most data is on the higher end with some data on the lower end)
retirement ages