What is the first quartile of the data displayed in this box-and-whisker plot? A)49 B)41 C)37 D)35
2 answers:
Answer:
The correct option is C. The first quartile of the data displayed in this box-and-whisker plot is 37.
Step-by-step explanation:
In a box plot,
Point 1: Left end point of the line represents the minimum value of the data set.
Point 2: Left side of the box represent first quartile (Q₁) of the data set.
Point 3: Line inside the box represents Median of the data set.
Point 4: Right side of the box represent third quartile (Q₃) of the data set.
Point 5: Right end point of the line represents the maximum value of the data set.
From the given box-and-whisker plot it is clear that left side of the box is at 37, So, the first quartile of the data displayed in this box-and-whisker plot is 37.
Therefore correct option is C.
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Given:
The function is
It defined on the interval -8 ≤ x ≤ 8.
To find:
The intervals on which the function is increasing and the interval on which decreasing.
Step-by-step explanation:
We have,
Differentiate with respect to x.
For turning point f'(x)=0.
Now, 0 divides the interval -8 ≤ x ≤ 8 in two parts [-8,0] and [0,8]
For interval [-8,0], f'(x)>0, it means increasing.
For interval [0,8], f'(x)<0, it means decreasing.
Therefore, the function is increasing on the interval [-8,0] and decreasing on the interval [0,8].