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### Five number summary

A 5 number an introduction consists of these five statistics:the minimum,Q1 (the first quartile, or the 25% mark),the median,Q3 (the 3rd quartile, or the 75% mark),the maximum,The five-number an overview gives girlfriend a rough idea about what her data set looks like. Because that example, you’ll have actually your lowest value (the minimum) and the highest possible value (the maximum) or much more concentrated data.The main reason you’ll desire to uncover a five-number an overview is to find much more useful statistics, like the interquartile range IQR, sometimes called the center fifty.### How to get in data as a frequency table?

Simple. First-type data elements (separated by spaces or commas, etc.), then form f: and further create frequency of every data item. Each facet must have a identified frequency the count of numbers before and also after prize f: need to be equal. Because that example:1.1 2.5 3.99f: 5 10 15### How to enter a group data?

Grouped data space data developed by aggregating separation, personal, instance data into teams so that a frequency distribution of these teams serves as a convenient method of summarizing or examining the data.group | frequency |

10-20 | 5 |

20-30 | 10 |

30-40 | 15 |

### How to get in data together a accumulation frequency table?

Similar to a frequency table, but instead f: type cf: in the 2nd line. For example:10 20 30 40 50 60 70 80cf: 5 13 20 32 60 80 90 100The accumulation frequency is calculation by adding each frequency native a frequency circulation table come the sum of the predecessors. The last worth will always be equal to the total for every observations because all frequencies will already have been included to the ahead total.### Questions

Question2 your Quartile calculator has actually an error. Both Q1 & Q3 are incorrect with the data collection below. Her calculator claims Q1 is 13 and also Q3 is 44. Correct answers: Q1 is 13.5 and also Q3 is 41. Confirmed with 3rd party and also Excel spreadsheet. Over there is certainly a difficulty with her code. As soon as a data collection has an even number of items every three approaches will have actually the same result!! In my example, Q1 have to be 13.5 no issue what! 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 19, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 26, 26, 26, 26, 27, 28, 28, 28, 28, 28, 29, 30, 30, 30, 31, 31, 31, 31, 31, 31, 31, 33, 33, 33, 33, 34, 34, 34, 34, 35, 35, 36, 37, 37, 38, 38, 38, 38, 38, 38, 38, 40, 41, 41, 41, 42, 43, 44, 44, 44, 44, 45, 45, 45, 45, 45, 45, 45, 45, 46, 47, 47, 48, 48, 48, 49, 49, 50, 50, 51, 51, 52, 52, 52, 52, 52, 53, 54, 54, 54, 55, 55, 55, 56, 56, 56, 56, 57, 59, 61, 61, 63, 63, 69, 70, 70, 77, 80 Answer2 hi Peter, say thanks to you for adding the technique buttons! so I view "Method 2" is the algorithm you had actually before. "Method 1" is much more accurate and also the desired method. "Method 2" is acceptable yet still has actually the same bug as before. It only happens once the data collection is even. Again, Q1 & Q3 results must be the same for evens regardless of method per the Wikipedia article. I"ll provide you a really simple example which shows the error I"ve been talking about all along. Try data collection 3, 7, 7, 9 . Each method gives different results but an approach 1 is indeed correct. Q1 must be 5 and Q3 have to be 8 for both methods. Hope this helps!Consider the set:1,2,3,4,5,6,7,8,9,10,11,12,13Clearly, Q2 is 7, Q1 is 3.5, and also Q3 is 10.5. However, your regimen yields"Quartile Q1: 4Quartile Q2: 7Quartile Q3: 10"^ This is incorrect.I think the error in the algorithm is in just how it creates the lower and upper halves ~ finding Q2.Consider the set:1,2,3,4,5,6If the perform is of also length, Q2 will be the average of the two center values (e.g. Q2 = <3+4>/2 = 3.5) . Hence, the lower fifty percent should it is in a list ranging from the short (i.e. The lowest worth in the original set of values) to the floor that Q2 (e.g. If Q2=3.5, the floor the Q2 is 3). Hence,lower fifty percent = 1,2,3The upper half should variety from the ceiling that Q2 (e.g. Is Q2=3.5, the ceiling the Q2 is 4) to the HIGH (i.e.See more: In World War I, How And Why Did The Stalemate Develop On The Western Front ?

The highest value in the original set of values). Hence,upper fifty percent = {4,5,6)A visual:1 2 3 4 5 61 * 3 * 4 * 6Q2 = 3.5Q1 = 2Q3 = 5