Mrs. Summers polled the students in her 7th and 8th grade classes to determine the number of pets each student has at home. The
results for both classes are shown in the dot plots below. Calculate the mean and mean absolute deviation of each sample. Then, complete the following question.
The mean number of pets for the 8th grade class is about 1.4 pets____ than the mean number of pets for the 7th grade class. This difference is about____ the mean absolute deviation of either group.
A. higher, lower?
B. same as, twice, half?
The mean number of pets for the 8th grade class is about 1.4 pets____ than the mean number of pets for the 7th grade class. This difference is about____ the mean absolute deviation of either group.
A. higher, lower?
B. same as, twice, half?
2 answers:
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We have the function:
The parent function is the linear parent function p(x)=x.
We can see that f(x) is 7 units above p(x) for any value of p(x), so we can transform p(x) to f(x) by a translation of 7 units in the y-axis.
We can see this in the graph:
Then, the transformation is a vertical shift up 7 units.
Solution:
The Ordered pair of the function is
x : 0 1 2 3 4 5
y: 13 21 29 37 45 53
(a)
Slope between two points are same.So,the function Represented in terms of ordered pairs Linear.
(b) As, you can each Successor of x values is obtained by adding 1 to it's Predecessor.
and , each Successor of y values is obtained by adding 8 to it's Predecessor.
(c) Taking any two ordered pairs , (0,13) and (1,21) we can find an equation of line passing through these 5 points (2,29),(3,37),(4,45),(5,53)
Equation of line passing through passing through two points is given by
=
=
→ y -13 = 8 x
→ y = 8 x + 13
So, Y intercept = 13