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3. The following data set shows population of Philadelphia (in thousands) since 1860, 1860 1880 1890 1900 1910 1920 1930 \" 565.5 674.0 847.1 1046.9 1293.6 1549.0 1823.7 1950.9 1940 1950 1960 1970 1980 1990 2000 2010 \" 1931.3 2071.6 2002.5 1949.9 1688.2 1585.5 1517.5 1528.2 a) (1 pts) Construct a time plot for the population of Philadelphia. What kind of trend do you see? What information can be extracted from this plot? b) (1 pt) Compute a table for the 10year increments of the population growth x1 = 674.0565.5, x2 = 847.1674.0, etc. 0) (2 pts) Compute sample mean, median, and variance of 10year increments. Discuss how the population of Philadelphia changes during a decade. d) (1 pt) Construct a time plot of 10year increments and discuss the observed pattern