The table below shows 10 data values 125 138 132 140 136 136 126 122 135 121 What values of minimum, Q1, median, Q3, and maximum
should be used to make a box plot for this data?
2 answers:
Answer:
The box plot of the given data is shown below.
Step-by-step explanation:
The given data set is
125, 138, 132, 140, 136, 136, 126, 122, 135, 121
Arrange the data in ascending order
121, 122, 125, 126, 132, 135, 136, 136, 138, 140
Divide the data in two equal parts.
(121, 122, 125, 126, 132), (135, 136, 136, 138, 140)
Divide each parenthesis in two equal parts.
(121, 122), 125, (126, 132), (135, 136), 136, (138, 140)
Minimum value = 121
Maximum value = 140
It means the starting point is 121 and end point is 140. Box lie from 125 to 136 and a line inside the box at 133.5.
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Answer:
To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.
Begin with the right hand side:
R.H.S = cot θ =
L.H.S = sin θ cos θ
so, sin θ cos θ ≠
So, the equation is not a trigonometric identity.
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<u>Anther solution:</u>
To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.
Assume θ with a value and substitute with it.
Let θ = 45°
So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2
R.H.S = cot θ = cot 45 = 1
So, L.H.S ≠ R.H.S
So, sin θ cos θ = cot θ is not a trigonometric identity.