Recall the following scenraio from Part 1 in thisNOTE CHECKseries:

Echo-Cardyis reviewing the dailyorders of the latest greatesteco-friendly, sustainability-themedvideo game sold through the Game Spotappstore.A selected number of these dailyorders, sorted numerically, are as follows: 40, 42, 44, 45, 49, 49, 49, 50, 50, 52, 54, 55, 56, 58, 60, 60, 63, 63, 63, 67, 68, 75, and 76.Echo-Cardywants to measure the center of this data collection.

Before continuing with other questions, let's agree that the data in these examples was a selection or subset of all the possible data, not the entire set or group of data about the number of daily orders of this video game app.Does that make it asample?

yes

no

Although the better known measure, therange,describes the total spread in a data collection from lowest to highest values, themidrangeis an average or measure of center involving the extremes in a data set.In other words,can the midrange be determinedby calculating the arithmetic average of the lowest and highest values (i.e.,adding the low and high numbers, and then dividing that sum by two)?

Yes

No

Echo-Cardyis reviewing the dailyorders of the latest greatesteco-friendly, sustainability-themedvideo game sold through the Game Spotappstore.A selected number of these dailyorders, sorted numerically, are as follows: 40, 42, 44, 45, 49, 49, 49, 50, 50, 52, 54, 55, 56, 58, 60, 60, 63, 63, 63, 67, 68, 75, and 76.Echo-Cardywants to measure the center of this data collection.Once again, what is themidrange?[COMMENTS & HINTS:Please submit the exactCounting Numberanswer to this question withoutany unnecessary decimals, commas or insignificant digits: for example, 17, not 17.00.Yes, the answerisaCounting Number!]

Answer:

Are there even more measures of center besides the mean,median,mode and midrange?

Yes

No

Yet another measure of central tendency is themidquartile, popularized by Exploratory Data Analysis statisticians since the 1970's.Yes,it's not that old.Anyway, it can be computed using a variety of approaches or algorithms, yielding approximately similar, though not always identical results, which actually is acceptable!Indicate which of the followingapproaches or algorithms should yieldapproximatelysimilar results, again depending on the data set?Mark ALL that apply.{Hint!Hint!Emphasis onALL.}

For a data setwith 26 data values, with the data appearing in cells A2 through Z2, use a pspreadsheetto generate the answer as follows:

1. =(QUARTILE(A2:Z2,1)+QUARTILE(A2:Z2,3))/2
2. Find the midpoint between the lower hinge and upper hinge for a box plot graphicallyrepresenting a data set
3. Find the midpoint between the median of the lower/bottom half and the median of theupper/top half of a data set.
4. Calculate the arithmetic averageof the 25th and 75th percentiles for a data set.
5. Compute the arithmetic average of the first and third quartiles for a data set.

FALSEorTRUE:Another informal or casual way to think aboutmidquartileis the following: it's like trying to find the midway point between themiddlesof the two halves, bottom and top.

True

False

Echo-Cardyis reviewing the dailyorders of the latest greatesteco-friendly, sustainability-themedvideo game sold through the Game Spotappstore.A selected number of these dailyorders, sorted numerically, are as follows: 40, 42, 44, 45, 49, 49, 49, 50, 50, 52, 54, 55, 56, 58, 60, 60, 63, 63, 63, 67, 68, 75, and 76.Echo-Cardywants to measure the center of this data collection.What is themidquartile?[COMMENTS & HINTS:Please submit the exactCounting Numberanswer to this question withoutany unnecessary decimals, commas or insignificant digits: for example, 17, not 17.00.Yes, the answerisaCounting Number!]

Answer:

Echo-Cardyis reviewing the dailyorders of the latest greatesteco-friendly, sustainability-themedvideo game sold through the Game Spotappstore.A selected number of these dailyorders, sorted numerically, are as follows: 40, 42, 44, 45, 49, 49, 49, 50, 50, 52, 54, 55, 56, 58, 60, 60, 63, 63, 63, 67, 68, 75, and 76.Echo-Cardywants to measure the center of this data collection.She does so, and makes the following interpretive statement: "On average, the Game Spot store app soldapproximately56 orders daily for the latest greatest eco-friendly,sustainability-themedvideogame."Is this a reasonable statement, based upon the calculations of the measures of center for this data collection?

TrueFalse

Dr.Hammett,Professorand Chairperson at Saint Peter's University,is among a number of statistics educators and statisticians who describethemeanas themost democraticof all themeasures of center or central tendency.NOTE:This has nothing to do with political party affiliation.What does this description of themeasure mean, pardon the pun?Is it becausecomputing the meaninvolvesevery datavaluein a collection, when you add them all up and divide by the count, whereasevery other measureof centerinvolvesonly selected values, sometimes only one (ex: the median for an odd-numbered data set), two (ex: the midrange), or a few (ex: the mode for a multimodal data collection)?

Yes

No

Next, consider the following context:

Stetha is reviewing the number of reusable insulated water bottles sold daily each Sunday during the spring season atanecotourismvacationdestination.In the daily order she checked, the numbers of cards are as follows: 30, 36, 70, 24, 20, 52, 32, 48, 64, 44, 50, and 40.This represents all the data in thiscategory.Stethawants to measure the center of this data collection.

Before computing the measures,decide whether the data collection about springtime Sunday salesinvolved is apopulationor asample?

1.Population,because the collection involvesallthe springtime Sunday sales of reusable insulated water bottles during the springseason; hence it's the entire data set under consideration.

2.Sample,becauseit's only a subgroup of all the springtime Sunday sales of reusable insulated water bottles: a subset of the data collection.

3.This identification cannot be reasonably determined at this time,based on the available information.

4.It is a data collection that is neither a sample nor a population.

Stethais reviewing the number of reusable insulated water bottles sold daily each Sunday during the spring season atanecotourismvacationdestination.In the daily order she checked, the numbers of cards are as follows: 30, 36, 70, 24, 20, 52, 32, 48, 64, 44, 50, and 40.This represents all the data in thiscategory.Stethawants to measure the center of this data collection.What is themean?

1. a.40
2. b.40.5
3. c.41
4. d.41.5
5. e.42
6. f.42.5
7. g.43
8. h.43.5
9. i.44
10. j.44.5
11. k.45
12. l.45.5
13. m.46
14. n.46.5
15. o.47
16. p.47.5
17. q.48
18. r.None of these answers