Answer:
x = 21
Step-by-step explanation:
The following data were obtained from the question:
Set of data => 7, 15, x–1, x+1, 24, 28
Median = 21
x =?
Median is simply defined as the middle term of a given data arranged either in ascending or descending order.
Next, we shall determine the median of the set of data. This can be obtained as follow:
7, 15, x–1, x+1, 24, 28
Median = [(x–1) + (x+1)]/ 2
Finally, we shall determine the value of x as follow:
Median = [(x-1) + (x+1)]/ 2
Median = 21
21 = [(x-1) + (x+1)]/ 2
21 = [x – 1 + x + 1] /2
21 = [x + x – 1 + 1] /2
21 = 2x / 2
21 = x
Thus, x is 21
****Check****
Median = 21
x = 21
Median = [(x–1) + (x+1)] / 2
21 = [(21 – 1) + (21 + 1)] / 2
21 = [20 + 22] / 2
21 = 42/2
21 = 21
∑x = 5 + 7 + 8 + 4 + 11 + 12 + 8 + 7 = 62
(∑x)^2 = 62^2 = 3,844
x bar = 62 / 8 = 7.75
∑x^2 = 25 + 49 + 64 + 16 + 121 + 144 + 64 + 49 = 522
∑y = 79 + 82 + 83 + 81+ 86 + 89 + 91 + 84 = 675
(∑y)^2 = 455,625
y bar = 675 / 8 = 84.375
∑y^2 = 6,241 + 6,724 + 6,889 + 6,561 + 7,396 + 7,921 + 8,281 + 7,056 = 57,069
∑xy = 395 + 574 + 664 + 324 + 946 + 1,068 + 728 + 588 = 5,287
r = (∑xy - n(x bar)(y bar)) / (sqrt(∑x^2 - n(x bar)^2) sqrt(∑y^2 - n(y bar)^2)) = (5,287 - 8(7.75)(84.375)) / (sqrt(522 - 8(7.75)^2) sqrt(57,069 - 8(84.375)^2)) = (5,287 - 5,231.25) / (sqrt(522 - 480.5) sqrt(57,069 - 56,953.125)) = 55.75 / (sqrt(41.5) sqrt(115.875)) = 55.75 / 69.3456 = 0.8039
Answer:
2,4,5,and 7
Step-by-step explanation:
a term is either a single number or variable, or numbers and variables multiplied together.
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