MAT 152: Mathematics in the World Module #11

1. Raw Data -

Unprocessed and unorganized information collected directly from a source, often in its original

form before any analysis or classification.

Ungrouped Data

A list of individual data points that have not been organized into categories or intervals.

Each value is shown separately.

Grouped Data

Data that has been organized into classes or intervals, often displayed in a frequency table

to make analysis easier.

Average

- A measure of central tendency that represents a typical value in a dataset. Common types

include the mean, median, and mode.

Symmetrical

A data distribution where the left and right sides are mirror images of each other when

plotted on a graph; the mean, median, and mode are usually equal or close.

Skewed

A distribution that is not symmetrical.

Positively skewed (right-skewed):

where the tail is longer on the right.

Negatively skewed (left-skewed):

where the tail is longer on the left.

The mean

is found by adding all the numbers together and then dividing by the number of numbers.

The weighted

mean, unlike a regular mean, which

treats all numbers equally, the weighted mean assigns different weights to each number, making some numbers

count more in the computation.

The median

is the middle number when the dataset is arranged in order.

The mode

is the number that appears most often;