data set 1: rushing yards gained by san diego chargers football players\nthe table below show the rushing…

data set 1: rushing yards gained by san diego chargers football players\nthe table below show the rushing yards gained by san diego chargers football players during the 2006 season.\n| player | rushing yards |\n| ladainian tomlinson | 1815 |\n| michael turner | 502 |\n| lorenzo neal | 140 |\n| philip rivers | 49 |\n| andrew pinnock | 25 |\n| erick parker | 19 |\n| vincent jackson | 16 |\n| charlie whitehurst | 13 |\n| keenan mccardell | 8 |\n| brandon manumaleuna | 1 |\n| billy volek | -3 |\n| mike scifres | -7 |\nwhich player is an outlier in the data?\nhow many rushing yards did he have?\nfive number summary:\nmin:____ q1:____ median:____ q3:____ max:____\niqr:

data set 1: rushing yards gained by san diego chargers football players\nthe table below show the rushing yards gained by san diego chargers football players during the 2006 season.\n| player | rushing yards |\n| ladainian tomlinson | 1815 |\n| michael turner | 502 |\n| lorenzo neal | 140 |\n| philip rivers | 49 |\n| andrew pinnock | 25 |\n| erick parker | 19 |\n| vincent jackson | 16 |\n| charlie whitehurst | 13 |\n| keenan mccardell | 8 |\n| brandon manumaleuna | 1 |\n| billy volek | -3 |\n| mike scifres | -7 |\nwhich player is an outlier in the data?\nhow many rushing yards did he have?\nfive number summary:\nmin:____ q1:____ median:____ q3:____ max:____\niqr:

Answer

Answer:

  • Which player is an outlier in the data? LaDainian Tomlinson
  • How many rushing yards did he have? 1815
  • Five - number summary:
    • Min: - 7
    • Q1: 13
    • Median: 16
    • Q3: 140
    • Max: 1815
    • IQR: 127

Explanation:

Step1: Arrange data in ascending order

-7, - 3, 1, 8, 13, 16, 19, 25, 49, 140, 502, 1815

Step2: Find Min and Max

Min is - 7, Max is 1815

Step3: Find Median

There are 12 data points. Median is average of 6th and 7th values. $\frac{16 + 19}{2}=16$

Step4: Find Q1 and Q3

Q1 is median of lower half (-7, - 3, 1, 8, 13, 16), which is 13. Q3 is median of upper half (19, 25, 49, 140, 502, 1815), which is 140

Step5: Calculate IQR

$IQR = Q3 - Q1=140 - 13 = 127$

Step6: Identify outlier

LaDainian Tomlinson's 1815 yards is far from other values, making him an outlier.