Question

data set 1: rushing yards gained by san diego chargers football players
the table below show the rushing yards gained by san diego chargers football players during the 2006 season.

player	rushing yards
ladainian tomlinson	1815
michael turner	502
lorenzo neal	140
philip rivers	49
andrew pinnock	25
erick parker	19
vincent jackson	16
charlie whitehurst	13
keenan mccardell	8
brandon manumaleuna	1
billy volek	-3
mike scifres	-7

which player is an outlier in the data?
how many rushing yards did he have?
five number summary:
min:__ q1: median: q3: max:__
iqr:

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.

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