"season, meaning that data from post-storm reviews by the National Hurricane Center, such as a storm that was not initially warned upon, has been included. May 25 May 28 May 29 May 30 May 31 June 1 July 5 July 6 July 7 July 8 July 10 July 11 July 12 July 14 July 16 August 7 August 8 August 9 August 15 August 17 August 18 August 31 September 1 September 2 September 3 September 4 September 5 September 6 September 7 September 9 September 10 September 12 September 13 September 14 September 16 September 17 October 6 October"
"0, 3, 4, 1, 2, 3, 0, 2, 1, 3, 2, 0, 2, 2, 3, 2, 5, 2, 3, 999. Then the formula_23 values are −0.239, −0.225, −0.221, −0.234, −0.230, −0.225, −0.239, −0.230, −0.234, −0.225, −0.230, −0.239, −0.230, −0.230, −0.225, −0.230, −0.216, −0.230, −0.225, 4.359 and the formula_25 values are 0.003, 0.003, 0.002, 0.003, 0.003, 0.003, 0.003, 0.003, 0.003, 0.003, 0.003, 0.003, 0.003, 0.003, 0.003, 0.003, 0.002, 0.003, 0.003, 360.976. The average of these values is 18.05 and the excess kurtosis is thus 18.05 − 3 = 15.05. This example makes it clear that data near the ""middle"" or ""peak"""
"25 (number) 25 (twenty-five) is the natural number following 24 and preceding 26. It is a square number, being 5 = 5 × 5. It is one of two two-digit numbers whose square and higher powers of the number also ends in the same last two digits, e.g. 25 = 625, the other is 76. It is the smallest square that is also a sum of two (non-zero) squares: 25 = 3 + 4. Hence it often appears in illustrations of the Pythagorean theorem. 25 is the sum of the single-digit odd natural numbers 1, 3, 5, 7 and 9,"
"to obtain the list 3, 7. Since there are two elements in this remaining list, the median is their arithmetic mean, (3 + 7)/2 = 5. The mid-range is the arithmetic mean of the highest and lowest values of a set. The table of mathematical symbols explains the symbols used below. Other more sophisticated averages are: trimean, trimedian, and normalized mean, with their generalizations. One can create one's own average metric using the generalized ""f""-mean: where ""f"" is any invertible function. The harmonic mean is an example of this using ""f""(""x"") = 1/""x"", and the geometric mean is another, using"
"the first five odd natural numbers. 25 is a centered octagonal number, a centered square number, and an automorphic number. 25 percent (%) is equal to . It is the smallest base 10 Friedman number as it can be expressed by its own digits: 5. It is also a Cullen number. 25 is the smallest pseudoprime satisfying the congruence 7 = 7 mod ""n"". 25 is the smallest aspiring number — a composite non-sociable number whose aliquot sequence does not terminate. According to the Shapiro inequality, 25 is the least odd integer ""n"" such that there exist ""x"", ""x"", …,"
"1) · 6 = 12.<br> Write 7 to 12 with 7 aligned with 1. 6. ""x"" = 2.<br> ""xn"" + 1 = 2 · 6 + 1 = 13.<br> (""x"" + 1)""n"" = (2 + 1) · 6 = 18.<br> Write 13 to 18.<br> Repeat for the next few lines. 7 and 8. Sieving 9. Sieving 10. The resulting list contains a non-prime number of 25 which is 5. Use other methods such as a sieve to eliminate it to arrive at Note that by using exactly the next prime number of 5 wheel cycles and eliminating the multiple(s) of"
"6, 7, 8, 8, 10, 13, 15, 16, 20} are {7, 9, 15}. If also required, the zeroth quartile is 3 and the fourth quartile is 20. Consider an ordered population of 11 data values {3, 6, 7, 8, 8, 9, 10, 13, 15, 16, 20}. What are the 4-quantiles (the ""quartiles"") of this dataset? So the first, second and third 4-quantiles (the ""quartiles"") of the dataset {3, 6, 7, 8, 8, 9, 10, 13, 15, 16, 20} are {7, 9, 15}. If also required, the zeroth quartile is 3 and the fourth quartile is 20. When one has a"
"4, 6, 8, 14,8; group C has 8, 7, 4, 1, 5. The mean of group A = (2+6+7+11+4)/5 = 6, The mean of group B = (4+6+8+14+8)/5 = 8, The mean of group C = (8+7+4+1+5)/5 = 5, Therefore, the grand mean of all numbers = (6+8+5)/3 = 6.333. Suppose one wishes to determine which states in America have the tallest men. To do so, one measures the height of a suitably sized sample of men in each state. Next, one calculates the means of height for each state, and then the grand mean (the mean of the state"
"higher, 'Level 1' players believe that all other players are Level 0. These Level 1 players therefore reason that the average of all numbers submitted should be around 50. If p=2/3, for instance, these Level 1 players choose, as their number, 2/3 of 50, or 33. Similarly, the next higher 'Level 2' players in the 2/3-the average game believe that all other players are Level 1 players. These Level 2 players therefore reason that the average of all numbers submitted should be around 33, and so they choose, as their number, 2/3 of 33 or 22. Similarly, the next higher"
"a year for which the return is −23% and a period of two and a half years for which the return is +13%. The average percentage return for the combined period is the single year return, ""R"", that is the solution of the following equation: , giving an average return ""R"" of 0.0600 or 6.00%. Given a time series such as daily stock market prices or yearly temperatures people often want to create a smoother series. This helps to show underlying trends or perhaps periodic behavior. An easy way to do this is the ""moving average"": one chooses a number"
"of the ""3n-1""th triangular number. Generalized pentagonal numbers are obtained from the formula given above, but with ""n"" taking values in the sequence 0, 1, −1, 2, −2, 3, −3, 4..., producing the sequence: 0, 1, 2, 5, 7, 12, 15, 22, 26, 35, 40, 51, 57, 70, 77, 92, 100, 117, 126, 145, 155, 176, 187, 210, 222, 247, 260, 287, 301, 330, 345, 376, 392, 425, 442, 477, 495, 532, 551, 590, 610, 651, 672, 715, 737, 782, 805, 852, 876, 925, 950, 1001, 1027, 1080, 1107, 1162, 1190, 1247, 1276, 1335... . Generalized pentagonal numbers are important"
"of using the full 1–10 scale (which would make the scale inconsistent with that of other professors), s/he may sometimes have recourse to a plethora of symbols and decimals: the range between 5 and 6 is then expressed, in ascending order, by 5+, 5½, and 6−. Minimum passing is 6. As these symbols (except ½) have no clear mathematical value (usually ±0.25), calculating end-year averages can be somewhat arbitrary and inconsistent; therefore, there has been a push since 2008 with the Gelmini reform to uniform the system to the 1–10 scale. Before this reform, primary and secondary school grades used"
"used for judging non-linear relationships. The correlation ratio formula_9 takes values between 0 and 1. The limit formula_10 represents the special case of no dispersion among the means of the different categories, while formula_11 refers to no dispersion within the respective categories. formula_9 is undefined when all data points of the complete population take the same value. Suppose there is a distribution of test scores in three topics (categories): Then the subject averages are 36, 33 and 78, with an overall average of 52. The sums of squares of the differences from the subject averages are 1952 for Algebra, 308"
"1998, 2125, 2373, 2414, 2545, 2722, 2790 994, 1073, 1701 7p, 8, 12, 20, 23, 24, 25, 37, 39, 40, 50, 65, 68, 75, 77, 83, 89, 98, 108, 112, 123, 125, 126, 127, 133, 137, 142, 143, 148, 150, 177, 186, 194, 195, 197, 200, 207, 208, 210, 212, 215, 236, 250, 259, 272, 276, 277, 278a, 300, 301, 302, 314, 325, 331, 343, 350, 352, 354, 357, 360, 375, 376, 422, 458, 465, 466, 470, 474, 475, 476, 490, 491, 497, 504, 506, 507, 516, 526, 527, 528, 530, 532, 547, 548, 549, 560, 583, 585, 596, 607,"
"Average In colloquial language, an average is a single number taken as representative of a list of numbers. Different concepts of average are used in different contexts. Often ""average"" refers to the arithmetic mean, the sum of the numbers divided by how many numbers are being averaged. In statistics, mean, median, and mode are all known as measures of central tendency, and in colloquial usage any of these might be called an average value. The most common type of average is the arithmetic mean. If "" n "" numbers are given, each number denoted by ""a"" (where ""i"" = 1,2,"
"to obtain a single number. A number in the 0–9 range is considered to be normal while a number in the 10–24 range indicates that expert medical advice should be sought. For instance, scores of 11–15 are shown to indicate the possibility of mild to moderate sleep apnea, where a score of 16 and above indicates the possibility of severe sleep apnea or narcolepsy. Certain questions in the scale were shown to be better predictors of specific sleep disorders, though further tests may be required to provide an accurate diagnosis. The questionnaire was originally created with the intent to preserve"
"average for math is round ((3 · ((6 + 6 + 7 + 7) : 4) + 5) : 4) = 6. If he had 7 in the other semester, his annual average for math is 6.5 (and he passes). The ""preparatory school year"" became compulsory in 2012, and is a requirement in order to enter the first grade. According to Article 23 of the Education law no 1/2011 (""Legea Educației Naționale nr.1/2011"") the preparatory class is part of the primary school and is compulsory. Primary school classes are taught by a single teacher (""învățător"") for the most subjects. Additional"
"follows. Given a query , containing keywords formula_1, the BM25 score of a document is: where formula_3 is formula_4's term frequency in the document , formula_5 is the length of the document in words, and is the average document length in the text collection from which documents are drawn. formula_6 and are free parameters, usually chosen, in absence of an advanced optimization, as formula_7 and formula_8. formula_9 is the IDF (inverse document frequency) weight of the query term formula_4. It is usually computed as: where is the total number of documents in the collection, and formula_12 is the number of"
"or 6 rather than 11, keep 5 or 6 rather than 22, keep 336 rather than 33. For example, with 22456 the player should keep 6 rather than 22 and with 33456 they should keep 336 not 33. If they follow the strategy to maximize the average score they will get a three-of-a-kind 71.51% of the time and score an average of 15.19. As with three-of-a-kind there are slightly different strategies depending on whether a player is simply trying to get a four-of-a-kind or he is trying to maximize his average score. Different strategies will also be required should he"
"the same record, each tied team receives the ""average"" of the total number of combinations for the positions that they occupy. In 2007, the Minnesota Timberwolves and the Portland Trail Blazers tied for the sixth worst record. The average of the 6th and 7th positions in the lottery was taken, resulting in each team getting 53 combinations (the average of 63 and 43). Should the average number not be an integer, a coin flip is then used to determine which team or teams receive the extra combination. The result of the coin flip is also used to determine who receives"
"documents, one can plot a precision-recall curve, plotting precision formula_21 as a function of recall formula_22. Average precision computes the average value of formula_21 over the interval from formula_24 to formula_25: That is the area under the precision-recall curve. This integral is in practice replaced with a finite sum over every position in the ranked sequence of documents: where formula_28 is the rank in the sequence of retrieved documents, formula_29 is the number of retrieved documents, formula_30 is the precision at cut-off formula_28 in the list, and formula_32 is the change in recall from items formula_33 to formula_28. This finite"
"outcome is the sequence of all 1's, (1,1...,1). Here the entropy of ""X"" is ""H""(""X"")=0.469, while So this sequence is not in the typical set because its average logarithmic probability cannot come arbitrarily close to the entropy of the random variable ""X"" no matter how large we take the value of ""n"". For Bernoulli random variables, the typical set consists of sequences with average numbers of 0s and 1s in ""n"" independent trials. This is easily demonstrated: If ""p(1) = p"" and ""p(0) = 1-p"", then for ""n"" trials with ""m"" 1's, we have The average number of 1's in"
"1572, 1577, 1605, 1613, 1614, 1619, 1637, 1723, 1725, 1726, 1732, 1733, 1741, 1746, 1747, 1761, 1762, 1771, 1856, 1859, 1899, 1902, 1918, 1928, 1929, 1952, 1975, 2085, 2160, 2261, 2266, 2273, 2303, 2309, 2310, 2355, 2356, 2406, 2407, 2431, 2441, 2454, 2466, 2484, 2503, 2593, 2626, 2629, 2634, 2651, 2653, 2666, 2668, 2679, 2698, 2716, 2765, 2767, 2773, 2774, 2775, 2780, 2783 30, 47, 58, 70, 149, 285, 286, 287, 288, 313, 368, 373, 379, 380, 385, 418, 432, 446, 448, 493, 525, 541, 575, 616, 664, 694, 739, 801, 841, 844, 853, 880, 955, 958, 961, 962, 1003,"
"| 2 ! scope=row | 3 ! scope=row | 4 ! scope=row | 5 ! scope=row | 6 ! scope=row | 7 ! scope=row | 8 ! scope=row | 9 ! scope=row | 10 ! scope=row | 11 ! scope=row | 12 ! scope=row | 13 ! scope=row | 14 ! scope=row | 15 ! scope=row | 16 ! scope=row | 17 ! scope=row | 18 ! scope=row | 19 ! scope=row | 20 ! scope=row | 21 ! scope=row | 22 ! scope=row | 23 ! scope=row | 24 ! scope=row | 25 ! scope=row | 26 ! scope=row"
"!align=""right""| !align=""left"" colspan=3|Total !align=""right""|3,065 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|3,635 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|3,675 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|5,554 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|6,349 !align=""right""|100.00% !align=""left"" colspan=3|Total !align=""right""|5,681 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|6,772 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|5,270 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|6,077 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|7,135 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|6,905 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|6,243 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|6,477 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|6,459 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|5,984 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|7,272 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|7,409 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|8,272 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|7,941 !align=""right""|100.00% !align=""right""| !align=""left"" colspan=3|Total !align=""right""|8,542 !align=""right""|100.00% !align=""right""|"
"210 (number) 210 (two hundred [and] ten) is the natural number following 209 and preceding 211. 210 is a composite number, an abundant number, and the product of the first four prime numbers (2, 3, 5, and 7), and thus a primorial. It is also the least common multiple of these four prime numbers. It is the sum of eight consecutive prime numbers (13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 = 210). It is a triangular number (following 190 and preceding 231), a pentagonal number (following 176 and preceding 247), and the"
"presentations of the smallest size are rated 1, the other half, 2 – yielding a mean rating of 1.5. For the second size, five of its seven presentations are rated 3, the other two, 4 – for a mean rating of [(5X3) + (2X4)]/7 = 3.29. For the third size, three of its four presentations are rated 4, the fourth, 5 – for a mean rating of [(3X4) + (1X5)]/4 = 4.25. Both presentations of each of the two largest sizes are rated 5."" Consider a set of numbers ranging from 100 to 1,000, rated with six categories. Each category"
"persistence 0, 1, ... are: The next number in the sequence (the smallest number of additive persistence 5) is 2 × 10 − 1 (that is, 1 followed by 2222222222222222222222 9's). For any fixed base, the sum of the digits of a number is proportional to its logarithm; therefore, the additive persistence is proportional to the iterated logarithm. More about the additive persistence of a number can be found here. Persistence of a number In mathematics, the persistence of a number is the number of times one must apply a given operation to an integer before reaching a fixed point"
"the sum of all values in the list ""L"" that are smaller than or equal to the ""N50"" of 6 is 16 = 2+2+2+3+3+4 and the sum of all values in the list ""L"" that are larger than or equal to 6 is also 16 = 8+8. For comparison with the ""N50"" of 6, note that the mean of the list ""L"" is 4 while the median is 3. To recapitulate in a more visual way, we have: N50, L50, and related statistics In computational biology, N50 and L50 are statistics of a set of contig or scaffold lengths. The"
"""n"" = 5, so the median is the ((5 + 1)/2)th item. As an example, we will calculate the sample median for the following set of observations: 1, 6, 2, 8, 7, 2. Start by sorting the values: 1, 2, 2, 6, 7, 8. In this case, the arithmetic mean of the two middlemost terms is (2 + 6)/2 = 4. Therefore, the median is 4 since it is the arithmetic mean of the middle observations in the ordered list. The distributions of both the sample mean and the sample median were determined by Laplace. The distribution of the sample"
"""Q"", is such a number that the integral from -∞ to ""Q"" equals 0.75; in terms of the CDF, the quartiles can be defined as follows: where CDF is the quantile function. The interquartile range and median of some common distributions are shown below The IQR, mean, and standard deviation of a population ""P"" can be used in a simple test of whether or not ""P"" is normally distributed, or Gaussian. If ""P"" is normally distributed, then the standard score of the first quartile, ""z"", is −0.67, and the standard score of the third quartile, ""z"", is +0.67. Given ""mean"""
"the test so that each test would have a mean score of 0 and a standard deviation of 1. On this normalized scale, positive scores denote above-average performances relative to the statewide average, and negative scores denote below-average performance. Analysis by Clotfelter et al. (2009) found gaps between four different racial groups: whites, Asians, Hispanics, and blacks. Essentially, while the black-white gaps are substantial, both Hispanic and Asian students tend to gain on whites as they progress in school. The white-black achievement gap in math scores is about half a standard deviation, and the white-black achievement gap in reading is"
"descriptive statistics. These can all be seen as minimizing variation by some measure; see . The most frequently occurring number in a list is called the mode. For example, the mode of the list (1, 2, 2, 3, 3, 3, 4) is 3. It may happen that there are two or more numbers which occur equally often and more often than any other number. In this case there is no agreed definition of mode. Some authors say they are all modes and some say there is no mode. The median is the middle number of the group when they are"