The data set has five values. If listed from lowest to highest, it looks like this { 4, ....., 8, ......, 14 }
1 answer:
Answer:
{4, 8, 8, 11, 14}
Step-by-step explanation:
The range is 10. This criteria is already met as 14-4=10. This means that we cannot have any numbers smaller than 4 or larger than 14.
The mode is 8 (And there is only one mode). The mode is the numbers that occurs the most. For there to be only one mode, there has to be at least 2 8's in this data set.
Currently, our data set is {4, 8, 8, ?, 14}
The mean is 9. Firstly, let us go over what the mean is. The mean is the average of all of the numbers in the set. To find this, you add up all of the elements in the set and divide it by the number of elements that you added.
This means that the equation that we would use to find the mean is
Now, we just need to solve for x to find the last element
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The radius of the circle is 3 cm.
<u>Step-by-step explanation:</u>
Refer the attached diagram, the circle with centre O. In that given, AB is tangent given as 4 cm and distance of point from the circle, OA = 5 cm
As AB is tangent, OB (radius of circle) is perpendicular to AB (tangent at any point of circle). Therefore the angle of OBA is 90 degree.
Also, triangle OAB is a right angled triangle (refer attached diagram). By using Pythagoras theorem in right angled triangle,
Substitute the given values in the above expression, we get
Taking square root on both side, we get
Radius of the circle, OB = 3 cm
