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¡¡Balls, balls, Balls!!. Collection of Data . Non-probability Sampling. Discrete. Choice of Product Golf ball Brands. Titleist Taylor Made Bridgestone Nike `. Quantitative Data. Lisa Schlais. Size of Sample. Mean, Mode and Median Formulas. Mean, Mode and Median. - PowerPoint PPT Presentation

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PowerPoint Presentation

Balls, balls, Balls!!

(Kris)The overview and goal of this project is to:

Compare the sales in dollars and number of units in statistical terms for the types of golf balls sold at Whistling Straights.Visually represent the statistical data for easier comprehension

1

Collection of Data

Non-probability SamplingDiscrete

(Kris)This was the start of our project. We wanted to receive a true reflection of the sale of sleeves of golf balls. Steve collected the data by taking programs at work and running reports to see units sold and total sales. The database shown here reflects the total sales and unit values of golf balls. The columns of raw data reflect a non-probability sampling of discrete numbers. Each column reflects: the product name/ the units sold/ the retail volume/ and the last column represents the gross profit margin. These four columns will help us to base our statistical values. We will be taking the sales of golf balls with the number of volume and compare the two. These values were discrete because we could only take the whole numbers(integers) of sleeves sold. 2

TitleistTaylor Made Bridgestone Nike

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Choice of Product Golf ball Brands(Kris)Here are the four major product choices that we used to derive at our statistical information. These four major product brands will helped us to ordinally put the ranking of sales in the proper order. In the sales statistics to follow you will see which brand will sell the most to the least. This will help them to put their stats in an ordinal order.3

Lisa Schlais

Quantitative Data

Size of Sample(Kris)The quantitative data shown here are the 16 golf sleeves that are sold in the Whistling Straights golf course. The size of our sample is the number of sleeves of golf balls sold at Whistling Straights and they were obtained from the Non-probability sampling of unit sales that Steve ran for us in his data base shown in the previous slide. The three sections of golf balls are reflected in one chart here. Titleist, Nike, and the Taylor Made golf balls. This sample was unbiased because it was all of the sleeves that were analyzed. 4

Mean, Mode and Median Formulas

(Kris)We took the collection of the total units sold to determine the mean, mode, and median of the numbers. Give the definition of each value:

Mean, Mode and Median

(Kris)We pointed out the formulas in the previous slide because the computer was used to derive the mean, median , mode and a few other figures reflected in this chart. From the units sold of all sleeves of golf balls we determined the Mean, Mode, and Median.Our mean 602.1875 was figured by the total unit of sales which was the sum 9635 and divided by the count ( total numbers)16.

Our median had 16 numbers so we had to put them in order and 362 and 441 were the middle two numbers and divided by two give you 401.50

Our Mode is reflected by the two Taylor Made golf balls , the E6 ball and the B330RX ball which each sold 66. This was a modal sampling because only one set of numbers were reflected more than once. We will discuss the range, and sample variance in other slides. The rest of the numbers were reflected within the excel program.It is very right skewed because the 2.12 is a positive number and over the number 1.

6Golf Balls Sold in Ordinal Form

This bar chart reflects the number of unit sold and which brand of golf balls were sold. The chart reflects how each brand sells. The Pro selections made by Titleist are the number 1 sellers even though they are the highest priced golf ball. The Taylor Made has the next brand sales with their Penta brand followed by e the nike brands with the NXT and Nxt Tour the last product brand in ordinal order would be the Bridgestone brand. 7

Steven Risler

Nominal Unit Sales

These two slides will break down the sales into four specific types or nominal typesHere we have Taylor made sales in the graph in the upper right and some of the Nike more expensive brands 8

Kristeen Beaudo

Unit Sales

Here we have the Nike and less expensive brands and the Bridgestone brands last.9

Range of values

Standard Deviation

We then took our sampling to find the range of values of our golf balls we sold. As you can see the Taylor Made golf balls didnt sell as well as the popular name brand balls such as the Titleist and Nike brands. The range is the high low with the numbers in-between Our high number is 2723 and the low number is 54 giving a range of 2669. We will show the break down for variances and standard deviations in the following slides. 10

Stacey Hansmann

Standard Deviation

We broke down our range of values to find the standard deviation. X= individual scoreM= mean of all scoresN= Sample size(number of scores)11

For Number: 66b + (e)h 2 + (2) .176= 18% 17Percentile RankDefinition 1: A percentile is a measure that tells us what percent of the total frequency scored at or below that measure.A percentile rank is the percentage of scores that fall at or below a given score. Definition 2: A percentile is a measure that tells us what percent of the total frequency scored below that measure.A percentile rank is the percentage of scores that fall below a given score

Where B = number of scores below x E = number of scores equal to x n = number of scores

Percentile Rank

Percentile Ranks---now we will give each of you and a ball and show you how to run a percentile rank on who is closest to the hole.

Definition 1: A percentile is a measure that tells us what percent of the total frequency scored at or below that measure.A percentile rank is the percentage of scores that fall at or below a given score. Definition 2: A percentile is a measure that tells us what percent of the total frequency scored below that measure.A percentile rank is the percentage of scores that fall below a given score

Where B = number of scores below x E = number of scores equal to x n = number of scores

13

Standard Deviation With the Empirical Rule16-602 778.9647 = -0.752

599.744 600.496 601.248 602 602.752 603.504 604.256

This is the 1st , 2nd and 3rd standard deviations. We figured that 602 was the mean and we added and subtracted the standard deviation in the percentile rank. The standard deviation is 778.9647 14

Experiment : constructing a Dot PlotDirections:

One person from each group will be chosen to putt into the putting cup

We will give each person a golf ball and then the person chosen from the group will putt the ball into the putting cup

We will use your information to demonstrate how to create a dot plot on the board.

15

Sales Correlation

As shown on the graph above, there are no real outliers in regards to sales for the number of units sold compared to the amount in sales. There is a strong correlation between the increase in number of units sold and an increase in revenue. 16

Confidence Intervals

602.187516714.2021393= 380.5714563 = sample mean n = sample size = population standard deviation z/2 = z-value with an area of /2 to its right (obtained from a table). Note: When (as is often the case) we don't know the population standard deviation , we can approximate it by the sample standard deviation s, and obtain the following (good) approximation of the confidence interval:

Conclusion

Statistics reflected

16 was the number of probabilities sold

The Titleist is the highest selling brand

The Nike has the highest profit margin

18

Questions ?