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Aaliyah has the following data:
\newline
14
,
16
,
k
,
19
,
20
,
20
14, 16, k, 19, 20, 20
14
,
16
,
k
,
19
,
20
,
20
\newline
If the mean is
18
18
18
, which number could
k
k
k
be?
\newline
Choices:
\newline
(
A
)
(A)
(
A
)
1
1
1
\newline
(
B
)
(B)
(
B
)
19
19
19
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Math Problems
Algebra 2
Is (x, y) a solution to the system of equations?
Full solution
Q.
Aaliyah has the following data:
\newline
14
,
16
,
k
,
19
,
20
,
20
14, 16, k, 19, 20, 20
14
,
16
,
k
,
19
,
20
,
20
\newline
If the mean is
18
18
18
, which number could
k
k
k
be?
\newline
Choices:
\newline
(
A
)
(A)
(
A
)
1
1
1
\newline
(
B
)
(B)
(
B
)
19
19
19
Calculate sum excluding
k
k
k
:
First, calculate the sum of the given numbers excluding
k
k
k
:
14
+
16
+
19
+
20
+
20
=
89
14 + 16 + 19 + 20 + 20 = 89
14
+
16
+
19
+
20
+
20
=
89
.
Calculate total sum:
Since the mean of all numbers is
18
18
18
and there are
6
6
6
numbers, the total sum of all numbers should be
6
×
18
=
108
6 \times 18 = 108
6
×
18
=
108
.
Find
k
k
k
:
To find
k
k
k
, subtract the sum of the other numbers from the total sum required. So,
k
=
108
−
89
=
19
k = 108 - 89 = 19
k
=
108
−
89
=
19
.
Check options:
Check the choices given to see if
19
19
19
is an option. Yes,
19
19
19
is option (B).
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\newline
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\newline
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\newline
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\newline
(
_
,
_
)
(\_,\_)
(
_
,
_
)
\newline
(
_
,
_
)
(\_,\_)
(
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,
_
)
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