Stats
What measure of central tendency is more
accurate for ice skating and why
mode
it is repeated more
Mode is the most frequently occurring value in a data set?
True
What is the average salary of the following?
$1, 000, 000 $50, 000 $45, 000 $45, 000
Is this a true reflection of the average salary, why or why not?
$285, 000 is not the true average because there is an outlier in the data set that raises the average. If we use a trimmed mean and remove the $1, 000, 000 and the lowest value $45, 000 a more accurate average is found.
How do you find the measure of central tendency that is mode?
Value that occurs the most
What is the mode:
2, 2, 3, 3, 5, 5, 5, 5, 7, 8
5
What is median?
middle most value
To find the median value in an odd count of data, it is the one middlemost value.
For exampled: 2, 2, 2, 3, 4, 5, 5
3 is the middlemost value in the data set
What measure of central tendency is often used when analyzing what size t-shirt to purchase at a store?
Mode
A store manager will want to see what size/type sells out the most (mode) to re-order that stock.
How do you find the median of a data set with an odd number of data?
It is the middle most value.
What is the median?
2, 2, 3, 3, 5, 5, 7, 8
4
What is mode
repeated value
To find the median value in a set that consists of an even count of values, one adds the 2 numbers in the middle and divides by 2.
For example:
2, 2, 3, 3, 4, 4
True
2 middlemost values or 3, 3
3+3/2
=3.5
mode
2, 2,2 ,2, 5, 5
2
How do you find the median value of a data set that consists of an even amount of values?
The 2 middle most values remaining are added and divided by 2.
What is the median?
2, 3, 4, 5, 6, 7, 8
5
what is arithmetic mean
average
A student wrote a 75%, 80%, 82%, 85%, 88%
What will be their average mark, using an arithmetic mean?
82%
median
2, 3, 4, 5, 6
4
What measure of central tendency more accurately reflects a true ice skating score and why? For example, if a perfect routine is 6 and the following scores are:
5.2, 5.2, 5.2, 5.3, 5.2, 5.1
Mode, is a more accurate reflection in this example.
What is the trimmed mean of the following:
10, 25, 23, 30, 35, 45, 47, 100
34.16
mode
2, 2,2, 1,1,1, 3,3, 3
1 and 2 and 3
A student has the following marks:
85, 79 and wants an 85% average
What must he write for his exam?
91
mode
2, 2, 2, 3, 3,3, 4
2 and 3
The following salaries are:
$1, 000, 000, $65, 000, $42, 000, $36, 000
$30, 000, $ 30, 000, $25, 000
What measure of central tendency is the most reflective of the average salary and why?
In this case there is a value that does not reflect the tendencies of the other values, or an outlier.
If you have a trimmed mean, you will have a truer reflection of the average salary.
There are outliers in this data set, using a trimmed mean find the following average of the data set:
5, 25, 30, 35, 40, 40, 50, 55, 55, 55, 100
42.7
or
43