Definitions
The Mode
What is the number or value that occurs most frequently in a data set?
The mean can have a decimal value
True or False
What is True?
The adding of the numbers in the middle
What is when your dataset has an even number of values?
The four different cases of modes
What is categorized as having no mode, one mode, two modes, or multiple modes?
The Mean
What is found by adding a set of numbers together and dividing the sum by the count of numbers in the set.
The mean
2, 9, 4, 12, 5, 8
What is 6.67?
The median value
1, 6, 7, 8, 11, 12
What is 7.5?
The mode
2, 5, 6, 2, 5, 9, 5, 8, 2
What is 2 and 5
The Median
What is the middle number in a set of data when the numbers are put in order from smallest to largest?
The arithmetic mean of the following data set: 12, 15, 22, and 19.
What is 17?
A data set consists of the numbers 3, 5, 7, 10, and 11. This is the median of the new data set if the number 6 is added to it.
What is 6.5?
The case type for the data set below
12, 3, 5, 7, 12, 4, 6, 5, 18, 24, 16, 16, 18
What is multimodal?
The Sample Mean
What is the average value of a small group of data taken from a larger group?
If a student scores an 80, 85, and 88 on their first three exams, this is the exact score they must earn on their fourth exam to bring their overall arithmetic mean up to an 87
What is 95?
Calculation details: To get an average of 87 across 4 exams, the total points needed is 87 × 4 = 348. The sum of the first three exams is 80 + 85 + 88 = 253. Therefore, the fourth exam must be 348 - 253 = 95
The sum of the median of
data set 1: 42, 17, 29, 35, 12 and data set 2: 1, 5, 8,12, 20
What is 37?
The specific term describes a data set like {12, 15, 12, 19, 15, 23}, which has exactly two modes.
What is bimodal?
The Population Mean
What is the average of all the values in an entire group or dataset?
The arithmetic mean of a set of 10 numbers is 25. If two numbers, 14 and 16, are removed from the set, this becomes the new arithmetic mean of the remaining 8 numbers
What is 27.5?
Calculation Details: The total sum of the original 10 numbers is 10 × 25 = 250. Removing 14 and 16 reduces the sum by 30 (250 - 30 = 220). The new mean for the remaining 8 numbers is 220 / 8 = 27.5.
The product of the median of Set A {1, 4, 6, 9} and the mean of Set B {5, 10, 12, 13}
What is 50?
If you add a single number to the data set 3, 8, 10, 12, and 12, the set instantly becomes bimodal (having two modes). This is the number you must add.
What is 3?
What is 8?
What is 10?