Cost for bowling at Blue Oaks bowling alley are $2.50 for shoes and $4.25 for each game bowled. Austin bowled 5 games. what was
1 answer:
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The IQR is 42.5
Step-by-step explanation:
Interquartile range is the difference of third and first quartile.
First of all we have to find the median for that purpose the data has to be arranged in ascending order. The data is already in ascending order.
As the number of values are odd
n=21
The median will be:
Putting n=21
The 11th term is 133
So median = 133
Now the data is divided into two halves
One is: 98, 100, 101, 102, 108, 109, 111,118, 129, 132
2nd is: 135, 135, 145, 146, 146, 156, 170 176, 180, 180
Q1 will be the median of first half and Q3 will be the median of 2nd half.
As now the halves contain even number of values, the medians will be the average of middle two values
<u>For First Half:</u>
98, 100, 101, 102, <u>108, 109</u>, 111,118, 129, 132
<u>For Second Half:</u>
135, 135, 145, 146, 146, 156, 170 176, 180, 180
Now
<u>Interquartile Range:</u>
Hence,
The IQR is 42.5
Keywords: Median, IQR
Learn more about median at:
#LearnwithBrianly
Before we proceed on determining the transformation happening on this problem, it's better to see first the location of the figure by drawing it in a cartesian coordinate plane. We have
If we observe the figures and the coordinates of the plot, we can see that there is a difference of 1 on the x coordinates of P and y coordinates of Q. Therefore, the first transformation that we consider here is the movement of figure P by 1 unit to the left. We have
This transformation changes the location of figure P into
The next transformation will be the rotation of the red dotted figure on the figure above by 90 degrees counterclockwise. With this transformation, the coordinates will transform as
Hence, for the rotation, we have the new coordinates.
The transformed image, which is represented as NMPO, will now be at
For the last transformation, we will be reflecting the figure NMPO over the <em>y</em> axis. This changes the coordinates as
We now have the new coordinates:
As you can see, they have the same coordinates as figure Q.
The mapping rules for the sequence described above are as follows:
First transformation (moving one unit to the left (x-1,y))
Second transformation (rotation counter clockwise (-y,x))
Third Transformation (reflection over y-axis (-x,y))
