Using Measures of Center and Measures of Variability: Mastery Test
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Two theaters show the premiere of a new movie. The table shows the numbers of people who saw the movie each day during its opening
week. Based on this information, which conclusion is true?
Theater 1 Theater 2
250 253
235 241
259 216
255 222
216 237
225 248
212 256
OA
The mean absolute deviation of the data for theater 1 is greater than the mean absolute deviation of the data for theater 2.
That means the number of people who watched the movie each day during opening week in theater 1 was more consistent
than in theater 2
OB. The mean absolute deviation of the data for theater 2 is greater than the mean absolute deviation of the data for theater 1.
That means the number of people who watched the movie each day during opening week in theater 2 was more consistent
than in theater 1.
oc
The mean absolute deviation of the data for theater 2 is less than the mean absolute deviation of the data for theater 1.
That means the number of people who watched the movie each day during opening week in theater 2 was more consistent
than in theater 1.
OD
The mean absolute deviation of the data for theater 1 is equal to the mean absolute deviation of the data for theater 2. That
means the number of people who watched the movie each day in theater 1 and theater 2 were approximately the same
during the week
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AN

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

24,18t

step-by-step explanation:

what is the question?