# Arithmetic total Average

use your answer from 3a (Arithmetic total Average) for all formulae that require a mean.

1) Distribution Tables to build: let class width=10 and first lower class limit=40 for seven (7) classes

a) Frequency Distribution: Make sure to list the

upper and lower class limits on your table.

i) List the class Midpoints.

ii) List the class Boundaries.

b) Relative Frequency Distribution

c) Cumulative Frequency Distribution

2) Pictures of Data to create:

a) Histogram of the frequency table in 1a

b) Relative Frequency Polygon

c) Ogive

3) Measures of Central Tendency to calculate:

a) Mean (Arithmetic Average)

b) Frequency Mean (Mean Estimation)

c) 5% Trim Mean

d) Median

e) Mode(s)

f) Midrange

4) Measures of Variation to derive:

a) Range

b) Standard Deviation

(Estimate with the Range Rule of Thumb.)

c) Standard Deviation d) Variance

e) Coefficient of Variation

5) Measures of Position to find:

a) z-Scores: find for each piece of data

i) Rate the z-scores as unusually low (L), ordinary (0), or unusually high (H).

b) Quartiles: find Q1, Q2 and Q3

i) Interquartile Range (or IQR)

ii) Create a Box-Plot (or 5-point graph

1) Distribution Tables to build: let class width=10 and first lower class limit=40 for seven (7) classes

a) Frequency Distribution: Make sure to list the

upper and lower class limits on your table.

i) List the class Midpoints.

ii) List the class Boundaries.

b) Relative Frequency Distribution

c) Cumulative Frequency Distribution

2) Pictures of Data to create:

a) Histogram of the frequency table in 1a

b) Relative Frequency Polygon

c) Ogive

3) Measures of Central Tendency to calculate:

a) Mean (Arithmetic Average)

b) Frequency Mean (Mean Estimation)

c) 5% Trim Mean

d) Median

e) Mode(s)

f) Midrange

4) Measures of Variation to derive:

a) Range

b) Standard Deviation

(Estimate with the Range Rule of Thumb.)

c) Standard Deviation d) Variance

e) Coefficient of Variation

5) Measures of Position to find:

a) z-Scores: find for each piece of data

i) Rate the z-scores as unusually low (L), ordinary (0), or unusually high (H).

b) Quartiles: find Q1, Q2 and Q3

i) Interquartile Range (or IQR)

ii) Create a Box-Plot (or 5-point graph

You'll get a 350.0KB .ZIP file.