Motivation: Students, who plan to further their education in college, will need to know statistics.The topic of Statistics related to hospitality industry is an essential building block in learning Mathematic for Hospitality. This is the reason this lesson is taught early in the term and why it is taught very critically. Therefore, it is imperative that students understand the concept of statistics and their use on different Disciplines.

Learning Outcomes Learning Outcomes: Following this lecture, a brief PowerPoint presentation, and a class work sheet on different examples, the students in the this class will be able to calculate Frequency Distribution, Mean (Average), Weighted Average, Median, Midrange, and the Mode with 100 % accuracy as observed by the instructor.

Statistics Is a science of: –Gathering –Organizing –Interpreting Information Statistical analysis help us to make decision.

Definitions Population: referred to a large group being researched. Sample: a randomly selected from a population.

Frequency Distribution The collection of data with the number of occurrences tabulated is called FD.

Central Tendency Numerically and graphically this number is some central value around which other numbers seem to cluster. It is important to find this number in order to give a measure of deviation from CT in a sample group.

How to measure Central Tendency? Mean or Average Weighted Mean or Average Median Mode Midrange

Mean or Average MonthRoom sales January104 Feb94 March112 April110 May104 June130 Find the average Room Sales per month. Solution = = 654 divided by 6 Average = 106

Weighted Mean (Average) This is used when the data in a sample is not of equal importance. WM is calculated by multiplying each number to its importance.

StoreNo. SoldPrice A40$600 B60$550 C180$425 D90$500 E50$550 Average Price per store: = $535 5

Average Price per printer:Prices must be weighted: NumberPrice Weighted product 40X600=24,000 60X550 =33, X425=68,000 90X500=45,000 50X600=30, Total200,000 Average price/printer 200,000/400 = $500

The Median Is a midpoint (middle number) of group of number. Given 7,4,14,8,10,3,5,1,11,4,8 First arrange in ascending order. 1,3,4,4,5,7,8,8,10,11,14 In this distribution, there is 11 number. The sixth one with 5 number on each side is middle number (7)

The Midrange Is the average between the highest and the lowest numbers in a set numbers. Given set: 1,3,4,4,5,7,8,8,10,11 Midrange =

The Mode Is the value that appears most frequently in a set. Given set: 2,0,2,5,8,12,5,4,3,5,11 The mode is number 5 If there is no repetitive number in a set, then The set does not have a MODE. Is it possible that a set can have two modes?

Example: Find the mean, median, midrange and mode For the following Set: 10, 15, 23, 13, 35, 27, 25, 31, 18, 23

Solution: The are 10 numbers in the set Mean = 22 Median- first arrange numbers in ascending orders Median is 23 Midrange = Mode 23 ics/Statistics/STA0001.htmlhttp://ericir.syr.edu/Virtual/Lessons/Mathemat ics/Statistics/STA0001.html » 2

BBC - KS2 Revisewise - Maths - Data - Mode, median, mean § 8. average / arithmetic mean / median / mode. 4. Science Terms. The American Heritage Book of English Usage an