Summarizing Data
What is the minimum in the data set? 105, 88, 93, 102, 97, 93, 96, 86, 88, 82, 79, 85, 77, 94, 91, 87
77
The following data set represents the minimum wage for 1990-2000. Calculate the range. 3.69, 4.14, 4.25, 4.25, 4.25, 4.25, 4.38, 4.88, 5.15, 5.15, 5.15
1.46
The mean of the original data set is 5. After linear transformation, the mean of the data set is now 20. Which equation best represents the linear transformation?
10 +2x
Find the sample variance of the following data set: 2, 3, 4, 7, 10, 1, 2
10.48
Find the median of the following data set: 17, 14, 45, 20, 8
17
Find the variance for the following data set: 16, 20, 14, 24, 16, 19, 30, and 8
38.48
Find the variance for the following data set: 101, 106, 125, 142, 78, and 109
395.14
The following data set represents the minimum wage for 1990-2000. Calculate the median. 3.69, 4.14, 4.25, 4.25, 4.25, 4.25, 4.38, 4.88, 5.15, 5.15, 5.15
4.25
Find the maximum in the data set: 27, 26, 33, 45, 38, 38, 58, 54, 19, 22, 31
58
Find the standard deviation for the following data set: 16, 20, 14, 24, 16, 19, 30, and 8
6.2
Find the interquartile range for the following data set: 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9
6.5
Find the second quartile, or the median, for the following data set: 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9
9
What is a single number that summarizes the entire data set?
Center of Data
Find the population variance of the following data set: 11, 12, 55, 4, 17, 13, 19
Approximately 239
Often, the mean of a data set will increase as well as the standard deviation when a data set goes through a linear transformation, why does this happen?
Because the data is increasing and spreading out
What is a measure that indicates what percent of the given population scored at or below the measure?
Percentile
When a variable is multiplied by a constant and then added to a constant, this is known as what?
Linear Transformation
The sum of the numbers in a data set divided by the total number of values in the data set is called:
Mean
The midpoint value of a data set, where the values are arranged in ascending or descending order is called the:
Median
What is the midpoint value of a data set, where the values are arranged in ascending or descending order?
Median
This is least likely to be reported due to it being the one most likely to change by the introduction of additional scores
Mode
A value that is much larger or smaller than the other values in a data set or value that lies outside the given data set is known as what?
Outlier
What is a group of values and/or means that divide a data set into quarters, or groups of four?
Quartile
The difference between the highest and lowest values in a data set is what?
Range
What is the measure of how far the numbers in a data set are away from the mean or the median?
Spread in Data
What is a ranking system in which the mathematical values that are equal are given equal rank and the next, lesser value is given the next highest rank?
Standard Competition Ranking
A data set contains the following numbers: 8, 1, 10, 12, 13, 15, 12, 8
The median
How far a set of numbers are spread out is known as:
Variance
Three methods you can use to find the spread in data are:
Variance, Range, and Interquartile Range
In the linear transformation formula, x represents what?
the number in the data set