36 cm is the answer to your question
What is the outlier in the following data set:<br>
15,11,10,8,9,1,8,7,5,4,2,3, and 37?
NeTakaya
Step-by-step explanation:
The steps to find an outlier:
1. Put the data in numerical order.
2. Find the median.
3. Find the medians for the top and bottom parts of the data. This divides the data into 4 equal parts.
The median with the smallest value is called Q1. The median for all the values - usually just called the median is also called Q2. The median with the largest value is Q3.
4. Subtract...Q3 - Q1. This value is the InterQuartileRange or IQR. Remember that the range means taking the largest minus the smallest. This is a special range having to do with the quartiles.
5. Multiply...1.5 * IQR
6. Take your answer from #5 and do 2 things with it. A). Subtract it from Q1 and B) Additional to Q3.
7. Look at all your data points. If any are SMALLER than Q1 - 1.5 *IQR, they are outliers. If any are LARGER than Q3 + 1.5 *IQR, they are also outliers.
For your data....the median, Q2 is
(43+38)/2 = 40.5.
Q1 = (30+26)/2 = 28.
Q3 = (54+52)/2 = 53
The IQR is 53 - 28 = 25
1.5 * IQR = 37.5
Q1 - 37.5 = 28 - 37.5 = -9.5. There is no data value less than -9.5.
Q3 + 37.5 = 53 + 37.5 = 90.5. there is no data value greater than 90.5.
My conclusion is that there are no outliers in this data.
I hope this helps!
I believe its c if that is 31.5
For this, you can use the formula for the area of a circle. The formula is pi*radius*radius
Look at this figure as 1/4 of a circle. You can do this because the measure of the angle of the corner is 90 degrees, and 90 is 1/4 of 360.
Since the radius of the full circle would be 10, the area would be pi*10*10=100pi
Since this figure is 1/4 of that, the area is 25pi.
Hope this helps!
Answer:
The equation of line L is
Step-by-step explanation:
Assuming we want to find the equation of line L.
The equation of line M is
and it passes through (-4,-4). This line was obtained after a dilation of line M by a scale factor of 4.5.
The slope of both lines are the same.
Therefore line L also has slope
We need to obtain the y-intercept of line L. We divide the y-intercept of line M by 4.5 to get that of line L.
The equation of line L is of the form:
We substitute to get;
