10.2

Question 1

Numbers that give some indication of the overalll “Average” of some data… Examples: mean, median, mode

Answer 1

Measures of Central Tendency

Question 2

a measure of a numerical data set summarizes all of its values with a singe number…

Answer 2

Measure of Center

Question 3

a measure that describes how its values vary with a single number.

Answer 3

Measure of variation

Question 4

In a list of numbers, the number that occurs most frequently …. Note: there can be more than one or none.

Answer 4

Mode

Question 5

The middle of the data…

Answer 5

Median

Question 6

The sum of a collection of data divided by the quantity of data given…

Answer 6

Mean

Question 7

Statistics that give an indication of how the data is distributed are called…. Example: Range

Answer 7

Measures of Dispersion

Question 8

The difference of the largest and smallest scores…

Answer 8

Range

Question 9

One way to get a sense of how the data is distributed is to construct a…. Note: Data needed-lowest score, highest score, median, upper quartiles and lower quartiles

Answer 9

Box and Whisker Plot or Box Plot

Question 10

Find the median, then find the median of the lower set of numbers and you have found….

Answer 10

The Lower Quartile

Question 11

Find the median, then find the median of the upper set of numbers and you have found the…..

Answer 11

Uppe Quartile

Question 12

The difference between the upper and lower quartiles….

Answer 12

Interquartile Range (IQR)

Question 13

Any value of the data that lies more than 1.5 IQR its below the lower quartile or more than 1.5 IQR units above the upper quartile……

Answer 13

Outlier

Question 14

Steps to finding an outlier….

Answer 14

1. Find the InterQuartile Range (IQR) Q3-Q1 2. Calculate the InterQuartile Range Boundary; 1.5 (Q3-Q1) 3. Identify any outliers; a.) Lower Quartile Boundary: Q1 - IQR Boundary b.) Upper Quartile Boundary: Q3 + IQR Boundary 4. a.) Mark any data less than the lower quartile boundary with an asterisk to indicate it is an outlier. b.) Mark any data greater than the upper quartile boundary with an asterisk to indicate it is an outlier.

Question 15

dividing data into 100 equal parts; dividing points…

Answer 15

Percentiles

Question 16

The arithmetic average of the squared differences between each number and the mean of the collection of numbers…..

Answer 16

Variance

Question 17

List the steps to finding the variance of a set of numbers…

Answer 17

1. Find the mean
2. for each number x, find the difference between the number and the mean, so x - mean.
3. square all the differences in step 2, (x-mean)²
4. Find the arithmetic average of all the squares in step 3. This average is the variance.

Question 18

The square root of the variance….

Answer 18

Standard Deviation

Question 19

True or False; The greater the standard deviation, the more the scores are spread out.

Answer 19

True! The greater the standard deviation, the more the scores are spread out.

Question 20

Score minus the mean of all scores divided by the standard deviation (indicating how many standard deviations the number is away from the mean)….

Answer 20

z-score

Question 22

The percentage of the total amount of data that the number represents…..

Example: in a collection of 100 numbers, if the number 14 appears 6 times this is 6%…….

Answer 22

Relative Frequency

Question 23

A graph of data versus the relative frequency of each number in the data is called…..

Answer 23

Distribution

Question 24

A special type of smooth, bell-shaped distribution with the mean, median and mode all being equal….

Answer 24

Norrmal Distribution