Given set m: 0, 1, 3, 4, 7 and set n: 1, 2, 3, 4, 5, 9. calculate the mean and mean absolute deviation for both sets. then, answer the following questions. how many data points in set m are closer than one mean absolute deviation from the mean of set m? how many data points in set n are further than two mean absolute deviations from the mean of set n? find the difference between the two means. how does this difference relate to the mean absolute deviation of each set? for example, is it the same as the mean absolute deviation, twice as much, half as much, etc?

solution:

set m : 0, 1, 3, 4, 7.

set n : 1, 2, 3, 4, 5, 9

mean of set m =

mean of set n =  

absolute difference between data values of set m and mean of set m

  = 3, 2, 0, 1, 4

absolute difference between data values of set m and mean of set m

  = 3,2,1,0,1,5

mean absolute deviation of set m =

number of   data points in set m which are closer than one mean absolute deviation from the mean of set m = 2 which are 1,3 because 2-1=1 and 2 +1=3, equidistant from 2.

mean absolute deviation of set n =

number of   data points in set n which are closer than one mean absolute deviation from the mean of set n = 3, which are 1,2,3 because 2-1=1, 2+1=3, and 2-0 or 2 +0 is equal to 2.

(b) difference between the two means=

  [mean of set m - mean of set n] or [mean of set n - mean of set m ]

that is 3-4 or 4-3

  = -1 or 1

absolute   difference between the two means= 1

(c) : absolute   difference between the two means= 2=1,

=     [mean absolute deviation of set m or set n]

→→mean absolute deviation of set m or set n=2 × absolute   difference between the two means

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

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