Mean absolute deviation (MAD) of the data set indicates the average distance of all elements from mean of the data set.
MAD of the data represented by dot plot in the picture will be Option A.
Elements in the given dot plot are,
3, 4, 5, 5, 5, 5, 5, 5, 6, 7
Steps to be followed for the mean absolute deviation of this data set.
- Find the mean of the data set
- Find the absolute distance of each element from the mean
- Find the average distance of all the elements which will be MAD of the data set.
Step - 1 :
Mean of the data set =
=
=
(As shown on the dot plot)
Step - 2 :
Absolute distance of each element from the mean of the data set,
3 - 5 = |-2| = 2
4 - 5 = |-1| = 1
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
5 - 5 = 0
6 - 5 = 1
7 - 5 = 2
Step - 3 :
Average of the absolute distance =
=
= 0.6
Therefore, Option A will be the correct option.
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Answer:
Step-by-step explanation:
The equation of a linear function in point-slope form is y – y1 = m(x – x1)
The point is A (x1 , y1)
in this exercice : x1 = 3 and y1 =2
let A(3,2) B(-9,6)
the slope is : m = (YB - YA)/(XB -XA)
(6-2)/(-9-3) =4/(-12) = -1/3
the slope is m = -1/3
The equation is : y – y1 = m(x – x1)
y-2 =-1/3 ( x-3)
or : 3y-6 = -x+3
Answer:
Distance from Fresno where both cars meet = 210 - 150 = 60 miles
Step-by-step explanation:
let x = distance travelled by A from Sacramento
y = distance travelled by B from Los Angeles
t = time after 12 noon that they meet
x = 50(t + 1)
y = 400 - x = 75(t) or x = 400 - 75t
so: 50(t + 1) = 400 - 75t
50t + 50 = 400 - 75t
50t + 75t = 400 - 50
t = 2,8 hrs
so y = 400 - 75(2.8) = 210 miles from Los Angeles
distance from Fresno where both cars meet = 210 - 150 = 60 miles