STA 13 Fall 23 Lecture 3 up to page 35

Location and Shape

Graphical representation of the data can help us find the ________ and ________ of the distribution.

Horizontal and Center

A measure along the ________ axis that locates the ________ of the distribution.

the number of data points/measurements

Arithmetic mean is the sum of data points of interest divided by ________.

Variance, Deviation, the

The ________ of a population of N measurements is the average of the squares of the ________ of the measurements about ________ mean.

X Bar and n-1

The variance of a sample of n measurements is the sum of the squared deviations of the measurements about their mean ________ divided by ________.

the same value

If the measures are equal to zero, all the data should have the ________.

1 and 1

At least none of the measurements lie in the interval ________ to ________.

2 and 2

At least 3/4 of the measurements lie in the interval ________ to ________.

3 and 3

At least 8/9 of the measurements lie in the interval ________ to ________.

Median, Smallest, Largest

The ________ m of a set of n measurements is the value of x that falls in the middle position when the measurements are ordered from ________ to ________.

do not

Mean and Median ________ always coincide with each other.

symmetric

When the distribution is ________, mean and median are the same.

larger

When the distribution is skewed to the right, mean is ________ than the median.

smaller

When the distribution is skewed to the left, mean is ________ than the median.

frequently

The mode is the category that occurs most ________, of the most frequently occurring value of x.

large

Mode is generally used to describe a ________ dataset.

large and small

Mean and Median can be used for both ________ and ________ datasets.

variability

Measures ________ of can help you create a mental picture of the spread of the data.

Range

The ________, R, of a set of n measurements is defined as the difference between the largest and smallest measurements.

positive square root

The standard deviation of a set of measurements is equal to the ________ of the variance.

0

These measures are always bigger than or equal to ________.

more

The larger the measures are, the ________ variability the data set has.

unit

The range and standard deviation have the same ________ as the original data.

standard deviation

Given a number k greater than or equal to 1 and a set of n measurements, at least 1-(1/k)^2 of the measurements will lie within k ________ of their mean.