Answer:
Of the three options being considered, the boxplot is the best option to present data in such a way that the median is easily readable from the presented data.
Median = $31,160
Step-by-step explanation:
For any data distribution, the median is the variable that falls at the middle of the distribution when all of the variables are arranged in ascending or descending order.
Manually doing it,
$25,745; $26,512; $27,322; 27,750; $29,820; $32,500; 35,448; $52,020; $63,485; $87,167
There are two numbers in the middle, $29820 and $32500, so, whem this happens, the median is the average of the two numbers in the middle.
Median = (29820+32500)/2 = $31160
- The dot plot is a graph that plots the arbitrary values of all the variables as just for points on a graph with the value of variables on the y-axis and x-axis for the number of the variable. Unless the variables are arranged in ascending or descending order before plotting, it wouldn't be straight forward to obtain the median from this plot. It wouldn't be easy to read the median from the plot at one glance.
- The boxplot plots all the variables together with their range on a straight line and the first & third quartiles serve as borders for the boxplot. All the other variables outside the first and third quartiles are on the whiskers. The median is obviously indicated using a straight line that cuts across the boxplot as shown in the attached image and it can be read immediately from the plot.
Of the three options being considered, this is the best option to present data in such a way that the median is easily readable from the presented data. The boxplot of the distribution is presented in the attached image and it is equal to $31160
- The histogram posts the data with frequency on the y-axis, and the data, grouped into regular intervals on the x-axis. The height of each bar indicates how often that set of variables occurs. This also isn't a method of presenting data to immediately show the median of the distribution at a glance.
Hope this Helps!!!
Answer:
2.5th percentile and the 97.5th percentile.
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
So we obtain the 0.025*100 = 2.5th percentile and the (1-0.025)*100 = 97.5th percentile.
So the answer is:
2.5th percentile and the 97.5th percentile.
The equation of a line is given by the expression:
y=Mx + b
This is the slope form of an equation where M is the gradient of line and b is the y intercept.
For the slope, M= change in y values/ change is x values
(-3,8) , (-7,8) thus the slope m,=(8-8)/(-7--3)
m=0/-4 =0
the slope is 0
To find the b substitute the values in the equation y=Mx+b
Taking point (-3,8) and slope of 0
y=Mx+b
8=0*(-3) + b
8=0+b
8=b
The value of b is 8
The equation of the line will be;
The equation of the line is y=8
Answer:
The width of the art projects of area 63.6 square inches is 7.97 inches .
Step-by-step explanation:
Given as :
The area of the square art project = 63.6 square inches
Since The shape of the art project is square
So, The Area of square = A = side × side = side²
Now, let the measure of the width of art project = w inches
I.e side = w inches
or , A = side²
Or , A = w²
Or, 63.6 = w²
So, w =
I.e w = 7.97 inches
So, the width of the projects = w = 7.97 inches
Hence The width of the art projects of area 63.6 square inches is 7.97 inches . Answer