Answer;
S
=
2
(
(
−
y
+
11
2
,
y
−
7
2
)
2
+
4
−
3
(
−
y
+
11
2
,
y
−
7
2
)
)
y
x
=
−
y
2
+
11
2
x
=
y
2
−
7
2
Step-by-step explanation:
divide each term by y then simplify
Answer:
The answer to your question is given below
Step-by-step explanation:
From the question given above, the mean score is 23.
Thus, we can obtain the distance from the mean (absolute deviation) by using the following formula:
Mean deviation = | mean – Score |
Mean = 23
For Score 21:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 21 | = 2
For Score 22:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 22 | = 1
For Score 28:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 28 | = 5
For Score 29:
Mean deviation = | mean – Score |
Mean deviation = | 23 – 29 | = 6
SUMMARY:
Score >> Mean >> Absolute deviation
21 >>>>> 23 >>>>> 2
21 >>>>> 23 >>>>> 2
21 >>>>> 23 >>>>> 2
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
22 >>>>> 23 >>>>> 1
28 >>>>> 23 >>>>> 5
29 >>>>> 23 >>>>> 6
(Assuming that theses are mixed number fractions) the exact form is -97/24, decimal form -4.0416 repeated, and the mixed number is -4 1/24
Answer:
30.5 ; 49 ; 27 ; 50 ; 45
Step-by-step explanation:
Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Given the ordered data :
13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82
Sample size, n = 30
The first quartile ;Q1
Q1 = 1/4(n+1)th term
Q1 = 31/4 = 7.75th term
Q1 = (29+32)/2
Q1 = 30.5
Q3 ;
Q3 = 3/4(n+1)th term
Q3 = 3(31)/4 = 23.25 th term
Q3 = (48 + 50) /2 = 49
2nd decile :
0.2 * (nth term
0.2 * 30 = 6th term = 27
8th decile :
0.8 * 30 = 24 th term
= 50
67th percentile :
0.67 * (n+1)th term
0.67 * 31 = 20.77
= (44 + 46) / 2
= 45
You divide the numerator by the denominator