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math project: statistics Written By: Sean Lin Data Collected From: MathForum.org

Math Statistic Project

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Page 1: Math Statistic Project

math project:

s t a t i s t i c s

Written By: ! ! ! Sean LinData Collected From:! ! MathForum.org

Page 2: Math Statistic Project

U. S. Population (1999-1900)

Year Population1999 2726908131998 2702480031997 2677836071996 2652285721995 2628032761994 2603270211993 2577826081992 2550296991991 2521530921990 2494643961989 2468192301988 2444989821987 2422889181986 2401328871985 2379237951984 2358249021983 2337919941982 2316644581981 2294657141980 2272246811979 2250554871978 2225845451977 2202394251976 2180351641975 2159731991974 2138539281973 2119087881972 2098960211971 2076606771970 2050521741969 2026769461968 2007060521967 1987120561966 1965603381965 1943029631964 1918887911963 1892417981962 1865377371961 1836914811960 1806711581959 1778296281958 1748819041957 1719841301956 1689030311955 1659312021954 1630258541953 1601841921952 1575527401951 1548778891950 152271417

Hsiu_Lin
DATA COLLECTED FROM MATHFORUM.ORG
Page 3: Math Statistic Project

1949 1491881301948 1466313021947 1441260711946 1413885661945 1399281651944 1383973451943 1367393531942 1348595531941 1334024711940 1321224461939 1308797181938 1298249391937 1288248291936 1280531801935 1272502321934 1263737731933 1255787631932 1248404711931 1240396481930 1230767411929 1217670001928 1205090001927 1190350001926 1173970001925 1158290001924 1141090001923 1119470001922 1100490001921 1085380001920 1064610001919 1045140001918 1032080001917 1032680001916 1019610001915 1005460001914 991110001913 972250001912 953350001911 938630001910 924070001909 904900001908 887100001907 870080001906 854500001905 838220001904 821660001903 806320001902 791630001901 775840001900 76094000

Page 4: Math Statistic Project

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Hsiu_Lin
PRESENTING AND ANALYZING DATA
Hsiu_Lin
bar graph
Page 5: Math Statistic Project

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

Hsiu_Lin
frequency table
Hsiu_Lin
Page 6: Math Statistic Project

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 don’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

Page 7: Math Statistic Project

FINDING THE RANGE272,690,813 - 76,094,000

RANGE = 195,596,813

Hsiu_Lin
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
Hsiu_Lin
Hsiu_Lin
Page 8: Math Statistic Project
Hsiu_Lin
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.
Page 9: Math Statistic Project

FINDING THE MEDIAN

BUT USING THE DATA SET TO FIND THE MEDIAN CAN GIVE US A MORE ACCURATE

ANSWER

Hsiu_Lin
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
Page 10: Math Statistic Project

FINDING QUARTILE

Hsiu_Lin
Lower Quartile = 115,000,000Higher Quartile = 215,000,000
Hsiu_Lin
Hsiu_Lin
Hsiu_Lin
Finding the lower and upper quartile is important because we can show the amount of population in the U.S after a 25 years.
Page 11: Math Statistic Project

FINDING OUTLIERS

Hsiu_Lin
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.
Hsiu_Lin
Page 12: Math Statistic Project

CONCLUSIONFrom 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.