M. 2. 2.- Evaluate the information in data sets, tables, charts, and graphs using statistics

Central tendency

The mean, median, and mode are three measures of this(mean is commonly known as the average, median is the middle value, and mode it the number repeated most often. They are used to summarize a set of data

Mean

The average so first add to find the sum and then divide the sum by how many numbers are in the set

sum

The result of addition.

Median

Middle number of an ordered list. If there is an odd number of terms, there is one middle number. If there is an even number of terms, there are two middle numbers, so the mean of those two middle numbers is this

Mode

The numbers in a list that occurs most often

Bimodal

Describes a distribution of data with two clear peaks

Bimodal

If a list includes two modes, it is called this

Range

One measure of spread for a data set. To find this, subtract the minimum value from the maximum value.

Spread

The range of values in a data distribution

Absolute difference

The range is sometimes referred to as this(the absolute value of the difference of two numbers)

Spread

This can be determined from a graph as well. The highest y-value is the maximum value while the lowest y-value is the minimum value. Once these are determined, the same process is used to find the range is used

Observations

The spread reflects the variability of the data. These that cover a wide range of data, have a large spread. However, these that are clustered near a single value have a small spread

Standard deviation

Quantity that indicates the extent to which data varies from the mean. If this is high, the data is spread out whereas if this is low, the majority of the values are close to the mean

Shape

(Collectively) Symmetry, number of peaks, skewness, and uniformity of data distribution can reveal valuable information

Symmetry

This type of distribution can be divided at the center with each half mirroring the other

Unimodal

A distribution with a single clear peak is called this

Skewed right

Distribution with fewer observations on the right(toward higher values) are this

Skewed left

Distribution with fewer observations on the left(toward lower values) are this

Uniform distribution

When the observations in a data set are spread equally across the range of the distributions, this is called this called this which has no clear peaks

Data trends

The general tendency of numbers in a data set

Expected values

Data set models can reveal what are known as these(the most likely value of a random variable)

Outliers

Data set models can reveal these data points that are distinctly separate from other data

Unexpected value

In a data set model, this does not fit any trend or pattern in the data

Data sets

These contain information regarding events that can be represented numerically. When trends are identified, the information with this can be used to determine the likelihood of an event occurring if another data piece were to be collected.

Probability

likelihood that a particular event will occur

Simple Probability

This can be found by dividing desired outcomes by the total number of outcomes in the data set

P(event)= (number of a desired outcomes)/(total number of outcomes)

What is the formula for the probability of an event