An article in technometric (Vol 19 1997 p. 425) present the following data on the motor fuel octane ratings of several blends of gasoline (60%):
88,5 98,8 89,6 92,2 92,7 88,4 87,5 90,9
94,7 88,3 90,4 83,4 87,9 92,6 87,8 89,9
84,3 90,4 91,6 91,0 93,0 93,7 88,3 91,8
90,1 91,2 90,7 88,2 94,4 96,5 89,2 89,7
89,0 90,6 88,6 88,5 90,4 84,3 92,3 92,2
89,8 92,2 88,3 93,3 91,2 93,2 88,9
91,6 87,7 94,2 87,4 86,7 88,7 92,7
90,3 91,1 85,3 91,1 94,2 92,7 93,3
90,0 86,7 90,1 90,5 90,8 88,6 89,8
91,5 93,4 89,3 100,3 90,1 89,3 86,789,9 96,1 91,1 87,6 91,8 91,0 91,0
a. Calculate the sample mean, standard deviation, sample median and of fuel octane ratings.
Explain how these three measure of location describe different features in the data.
c. Calculate the interquartile range

1; 35 is the ratio

step-by-step explanation:

may i see the picture? it would a lot, xox

i think it's eleven too, don't woosh me here, but according to the "experts" it's 2.

the proof starts from the peano postulates, which define the natural

numbers n. n is the smallest set satisfying these postulates:

  p1.   1 is in n.

  p2.   if x is in n, then its "successor" x' is in n.

  p3.   there is no x such that x' = 1.

  p4.   if x isn't 1, then there is a y in n such that y' = x.

  p5.   if s is a subset of n, 1 is in s, and the implication

      (x in s => x' in s) holds, then s = n.

then you have to define addition recursively:

  def: let a and b be in n. if b = 1, then define a + b = a'

      (using p1 and p2). if b isn't 1, then let c' = b, with c in n

      (using p4), and define a + b = (a + c)'.

then you have to define 2:

  def:   2 = 1'

2 is in n by p1, p2, and the definition of 2.

theorem:   1 + 1 = 2

proof: use the first part of the definition of + with a = b = 1.

      then 1 + 1 = 1' = 2   q.e.d.

note: there is an alternate formulation of the peano postulates which

replaces 1 with 0 in p1, p3, p4, and p5. then you have to change the

definition of addition to this:

  def: let a and b be in n. if b = 0, then define a + b = a.

      if b isn't 0, then let c' = b, with c in n, and define

      a + b = (a + c)'.

you also have to define 1 = 0', and 2 = 1'. then the proof of the

theorem above is a little different:

proof: use the second part of the definition of + first:

      1 + 1 = (1 + 0)'

      now use the first part of the definition of + on the sum in

      parentheses:   1 + 1 = (1)' = 1' = 2   q.e.d.

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.