Percentile Rank Percentile rank (PR) refers to the position within a group that a person with a particular score is at. A person with percentile rank of.

Slides:



Advertisements
Similar presentations
3.3 Measures of Position Measures of location in comparison to the mean. - standard scores - percentiles - deciles - quartiles.
Advertisements

Calculations in the Bivariate Normal Distribution James H. Steiger.
Equal Values Method. Since we want to know when the weights (y) are equal, the right sides need to be equal too. Example: Chubby Bunny Barbara has a bunny.
Max’s 2 – year checkup. Weight 8o th percentile (also written as P 80 ) Length 90 th percentile (or P 90 ) Head Girth 85 th percentile (or P 85 ) What.
Head circumference By Zani Alam WPGH. Learning intention: interpreting growth charts.
Raw Scores. Un-Grouped Frequency Distribution Grouped Frequency Distribution.
Percentile Rank 12 out of 20 (100)*12/20 (100)*.60 PR=C%b+(X-L/i)%
Normal Distributions What is a Normal Distribution? Why are Many Variables Normally Distributed? Why are Many Variables Normally Distributed? How Are Normal.
Did you know ACT and SAT Score are normally distributed?
The Percent Proportion Percent of a number Find what percent 1 number is of another Find the base in percent problems.
Standard Scores & Correlation. Review A frequency curve either normal or otherwise is simply a line graph of all frequency of scores earned in a data.
Frequency Distributions and Percentiles
Frequency Table Frequency tables are an efficient method of displaying data The number of cases for each observed score are listed Scores that have 0 cases.
Basic Statistics Standard Scores and the Normal Distribution.
In this chapter, we will look at using the standard deviation as a measuring stick and some properties of data sets that are normally distributed.
 z – Score  Percentiles  Quartiles  A standardized value  A number of standard deviations a given value, x, is above or below the mean  z = (score.
Warm up Rewrite each value as indicated. as a percent
Evaluating Algebraic Expressions 6-4 Finding a Number When the Percent Is Known NS1.3 Convert fractions to decimals and percents and use these representations.
4.1 Statistical Measures. When one needs to compare individual values to others in a data set, the following statistical measures are used: Per Capita.
Measures of Variability Percentile Rank. Comparison of averages is not enough. Consider a class with the following marks 80%, 80%, 80%, 90%, 20%, 70%,
Chapter 3.3 Measures of Position. Standard Score  A comparison that uses the mean and standard deviation is called a standard score or a z-score  A.
Average atomic Mass. What does the atomic mass tell us on the Periodic table?
 Quartiles and Percentiles. Quartiles  A quartile divides a sorted (least to greatest) data set into 4 equal parts, so that each part represents ¼ of.
Introduction to the Normal Distribution (Dr. Monticino)
Z-Score Review To translate a raw score into a z score (ex: what is the chance of finding a clerk who makes a particular income of 16k per year). We look.
Frequency Distributions
Modeling Distributions of Data Describing location in a distribution Chapter 2.1.
SWBAT: Use percentiles to locate individual values within distributions of data. Interpret a cumulative relative frequency graph. Find the standardized.
Measures of Position Section 3-3.
5.3 Solving Percent Problems. Tasha conducted a survey of the students in her school: From the results, Tasha calculated that 60% of the students go to.
Chapter 4 Lesson 4.4a Numerical Methods for Describing Data
Chapter 4 AVERAGE ATOMIC MASS. Atomic Mass… n The weighted average of the masses of all the naturally occurring isotopes of that element. n Is not a whole.
Chapter 3 Percentiles. Standard Scores A standard score is a score derived from raw data and has a known basis for comparison. A standard score is a score.
Interpreting HEDIS Percentiles Mary Ramos, PhD RN Evidence-based Practice Branch Quality Management Division, HP&S US Army MEDCOM.
Lesson Objective Understand what Cumulative Frequency curves are for Be able to plot a Cumulative Frequency Curve and use it to find the, median, inter-quartile.
Big Idea The distribution of the relative frequencies of the outcomes from a situation can be displayed in tables and graphs. Goals Compare relative frequency,
Summation Notation, Percentiles and Measures of Central Tendency Overheads 3.
Describing a Score’s Position within a Distribution Lesson 5.
Handling Data – Cumulative Frequency and Step Polygons Key topics : Cumulative Frequency Upper boundary, Discrete Data Continuous Data.
 By the end of this section, you should be able to: › Find and interpret the percentile of an individual value within a distribution of data. › Estimate.
OBJECTIVES 1-2 Travel Expenses-1
Percentages Revision.
The Percent Proportion
The Percent Proportion
CHAPTER 2 Modeling Distributions of Data
Measures of Central Tendency
Histograms and Distributions
The Percent Proportion
Average atomic Mass.
Probability, Finding the Inverse Normal
Numerical Measures of Position
Chapter 6: Normal Distribution Review
SCORING TERMINOLOGY USED IN ASSESSMENT
Analyzing One-Variable Data
The Percent Proportion
Mathematics Cumulative frequency.
Warm Up The weights of babies born in the “normal” range of weeks have been found to follow a roughly normal distribution. Mean Std. Dev Weight.
Data Tables Packet #19.
Advanced Math Topics 3.7 Percentile Rank.
Week 6 Lecture Statistics For Decision Making
12.4 – Measures of Position In some cases, the analysis of certain individual items in the data set is of more interest rather than the entire set. It.
I can find any probability…from a normal distribution
Describing Location in a Distribution
Describing Location in a Distribution
Section 9.5 The Bell Curve.
POWER UP! James took the National Career Assessment Examination. When the results were handed to him, he saw that he got 95 percentile. James wonders if.
Complete the family of four
Descriptive statistics for groups:
Presentation transcript:

Percentile Rank Percentile rank (PR) refers to the position within a group that a person with a particular score is at. A person with percentile rank of 70 (Pr 70), means that he /she scored the same as or better than 70 percent of the group. Pr 50 means person scored same or better than 50 percent of group.

Percentile Rank – data on handout answers the question  What percentile rank tells us is within this group what position a baby’s weight represents.  8 lbs For example ?  And gives us some idea if this is high or low relative to group

Percentile Rank - data on handout birth weights Step One – list the weights (or scores) Score (Weight) FrequencyCumulative Frequency Relative Freq Percent

Percentile Rank - data on handout birth weights (30 babies) Step Two – how many births (or scores) at each weight Score (Weight) Frequency Number of babies 102 babies weigh 10 lbs 92 babies weigh 9 lbs 85 babies weigh 8 lbs 710 babies weigh 7 lbs 67 babies weigh 6 lbs 53 babies weigh 5 lbs 41 babies weigh 4 lbs

Percentile Rank – Relative Frequency Percent  Step Three – calculate what the number at each score represents of the whole  If 5 out of the 30 weigh 8 lbs, what does that weight represent as a percentage of the whole (30) ?

Percentile Rank - data on handout birth weights (30 babies) Step Three – relative frequency percent Score (Weight) Frequency Number of babies Relative Frequency Percent (7) babies weigh 8 lbs 17.9 (18) (33) (23) (10) (3)

Percentile Rank - data on handout birth weights (30 babies) Step Four – cumulative percent (Percentile Rank) Score (Weight) Frequency Number of babies Relative Frequency Percent Cumulative percent Percentile Rank (7)100 (has to be 100) (7)94 85 babies weigh 8 lbs * 17.9 (18)87 (Pr87) * (33) (23) (10) (3)3

Percentile Rank  A baby weighing 8 lbs amongst this group (births in a week in Pleasantville) would be  Pr87 (at the 87 th percentile)  Which is the same (weight) as, or better than 87 % of the group (babies born that week).