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