Numerical Summary of Measures lab

Question 1

frequency distribution from continuos data is defined by types of descriptors kwown as

Answer 1

Parameters of a Frequency Distribution

Question 2

• defined as the value used to represent the center or the middle of a set of data values
• locates observations on a measurement scale

Answer 2

Central Tendency

Question 3

• describes the spread of values in a given data set
• suggests how widely spread out the observations are

Answer 3

Dispersions

Question 4

• the average value or the sum (∑) of all the observed values (xi) divided by the total number of observations (N)
• has the most mathematical properties and most representative of dataset if not for outliers

Answer 4

Mean

Question 5

X or Xi means “for each individual observation simple to calculate

Answer 5

Arithmetic Mean

Question 6

a type of mean that is calculated by multiplying the weight (or probability) associated with a particular event or outcome with its gives differing importance to the values in a dataset

Answer 6

Weighted Mean

Question 7

o the middle observation data when data has been arranged from highest to lowest

o when the data set is an even number (hence no natural middle point), the two middling variables are averaged to find a median

o rarely used to make inferential conclusions from, but is used frequently in healthcare and economics

Answer 7

Median

Question 8

o the most commonly observed value (i.e., the value most frequently observed)

o has some clinical interest, but seldomly used in statistics

o if two or more values appear with the same frequency, each is a mode

o the downside to using the mode as a measure of central tendency is that a set of data may have no mode, or it may have more than one mode

Answer 8

Mode

Question 9

a statistical measurement of the spread between numbers in a data set measures how far each number in the set is from the mean (average), and thus from every other number in the set

Answer 9

Variance

Question 10

o the average amount of variability in your dataset

o tells you, on average, how far each value lies from the mean

Answer 10

Standard Deviation

Question 11

o difference between the observed value of a data point and the expected value is known as deviation in statistics

o also called mean absolute deviation

Answer 11

Mean Deviation

Question 12

a statistical term that describes a division of observations into four defined intervals based on the values of the data and how they compare to the entire set of observations

Answer 12

Quartiles

Question 13

a type of quantiles, obtained adopting a subdivision into 100 groups

Answer 13

Percentiles

Question 14

difference between the highest and lowest values

Answer 14

Ranges

Question 15

difference between the third and first quartile

Answer 15

Interquartile Range

Question 16

• uses boxes and lines to depict the distributions of one or more groups of numeric data
• indicate the range of the central 50% of the data, with a central line marking the median value

Answer 16

Box Plot