math project:
statistics
Written By: ! ! ! Data Collected From:!!
Sean Lin MathForum.org
DATA COLLECTED FROM MATHFORUM.ORG U. S. Population (1999-1900) Year 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 1985 1984 1983 1982 1981 1980 1979 1978 1977 1976 1975 1974 1973 1972 1971 1970 1969 1968 1967 1966 1965 1964 1963 1962 1961 1960 1959 1958 1957 1956 1955 1954 1953 1952 1951 1950
Population 272690813 270248003 267783607 265228572 262803276 260327021 257782608 255029699 252153092 249464396 246819230 244498982 242288918 240132887 237923795 235824902 233791994 231664458 229465714 227224681 225055487 222584545 220239425 218035164 215973199 213853928 211908788 209896021 207660677 205052174 202676946 200706052 198712056 196560338 194302963 191888791 189241798 186537737 183691481 180671158 177829628 174881904 171984130 168903031 165931202 163025854 160184192 157552740 154877889 152271417
1949 1948 1947 1946 1945 1944 1943 1942 1941 1940 1939 1938 1937 1936 1935 1934 1933 1932 1931 1930 1929 1928 1927 1926 1925 1924 1923 1922 1921 1920 1919 1918 1917 1916 1915 1914 1913 1912 1911 1910 1909 1908 1907 1906 1905 1904 1903 1902 1901 1900
149188130 146631302 144126071 141388566 139928165 138397345 136739353 134859553 133402471 132122446 130879718 129824939 128824829 128053180 127250232 126373773 125578763 124840471 124039648 123076741 121767000 120509000 119035000 117397000 115829000 114109000 111947000 110049000 108538000 106461000 104514000 103208000 103268000 101961000 100546000 99111000 97225000 95335000 93863000 92407000 90490000 88710000 87008000 85450000 83822000 82166000 80632000 79163000 77584000 76094000
PRESENTING AND ANALYZING DATA bar graph
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frequency table
Population in U.S From 1900 to 1999
Frequency
70,000,000 – 80,000,000
3
80,000,000 – 90,000,000
6
90,000,000 – 100,000,000
6
100,000,000 – 110,000,000
7
110,000,000 – 120,000,000
6
120,000,000 – 130,000,000
11
130,000,000 – 140,000,000
7
140,000,000 – 150,000,000
4
150,000,000 – 160,000,000
3
160,000,000 – 170,000,000
4
170,000,000 – 180,000,000
3
180,000,000 – 190,000,000
4
190,000,000 – 200,000,000
4
200,000,000 – 210,000,000
5
210,000,000 – 220,000,000
4
220,000,000 – 230,000,000
5
230,000,000 – 240,000,000
4
240,000,000 – 250,000,000
5
250,000,000 – 260,000,000
3
260,000,000 – 270,000,000
4
270,000,000 – 280,000,000
2
Why I chose to present my data using a frequency table? I chose to present my data using a frequency table because the datas in the data set has many digits therefore it will be hard to do a stem and leaf plot. Therefore I chose to use a frequency table because I donâ&#x20AC;&#x2122;t need to write lots of numbers but instead I can show a simple and clear table that shows the ranges of the data set
FINDING THE RANGE 272,690,813 - 76,094,000
RANGE = 195,596,813
I chose this analysis method because I wanted to see the total amount of increase in the population of the US from the year 1900 to 1999
I chose this analysis method because I think finding the mean is one of the most important of all and I also wanted to know the average population in U.S from 1900 to 1999.
FINDING THE MEDIAN
BUT USING THE DATA SET TO FIND THE MEDIAN CAN GIVE US A MORE ACCURATE ANSWER
I chose this analysis method because I wanted to show the difference between finding the median using the frequncy table and the data set itself
FINDING QUARTILE
Lower Quartile = 115,000,000 Higher Quartile = 215,000,000
Finding the lower and upper quartile is important because we can show the amount of population in the U.S after a 25 years.
FINDING OUTLIERS
Finding the outlier allows us to find a data that is very different from the rest. This allows us to find a year in the U.S where the population increase significantly or decrease.
CONCLUSION From the five different analysis of the data, we can conclude that from the year 1900 to 1999, there is an increase of 195,596,813 people in the population of the USA. And the average population over this years is 155,300,000. It is also shown the median of the data collected is 150,000,000 this is found by using the frequency table, but if we use the data itself we can get a median of 150,729,773 which is far more accurate. I also found out that the population is growing consistently, therefore it is shown to not have any outliers. The last thing we can conclude is that, if the population keeps on following the pattern, then it population of the USA will soon exceed 300,000,000 after 20 years unless unexpected disasters like tornadoes, storms, earthquake and others happens therefore it might bring a significant change in the population.