You can use the midpoint formulae as I have in the picture below
Which teacher exhibited the most consistent performance over this 5 year span?
1 answer:
The teacher Jill Exhibited the most consistent performance over the 5 year span with the help of the graph.
According to the statement
we have to find the performance span of the given teachers.
So, For this purpose, we know that the
From the given information and the figure:
The figure graph attached with this question shows the performance of 5 teachers at Oakdale middle school.
It shows five year chart (2005 - 2009).
Teachers are Jill, Ed,Ralph,Tina and Sam.First consider performance of Jill, performance vary only in 2006 and every one other years the performance is consistent.In the case of all other teachers their performance vary inconsistently.
And because of this the teacher Jill Exhibited the foremost consistent performance over the 5 year span.
So, The teacher Jill Exhibited the most consistent performance over the 5 year span with the help of the graph.
Learn more about graph here
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Question:
Which teacher exhibited the most consistent performance over this 5 year span?
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Hello,
First you have order all the number least to the greater. That gives 30, 75, 80, 85, 85, 95, 95, 100, 100, 110.
Afterwards you have to find the median. Why ?
I will explain you. It's because the median is robust. In fact, it can't be influenced by extreme values (example : 110) but the mean yes. So the mean won't be accurate.
"Then why don't you choose the mode ? " you will ask me. That's because the mode takes the number which appears most often in a set of numbers. It couldn't be accurate at all. It will be useless for this set of numbers.
Furthermore, here there are 3 numbers which appears the most ( 2 times for each) : $85, $95 and $100. Which one will you take ?
Therefore the median is the most suitable and the most accurate to know the center because it is robust.
Now, let's find the median :
There are 10 values, so the median will be the average of the 5th and 6th values.
5th value = 85
6th value = 95
Therefore the median is 90.
Hope this helps !
Photon
First you have order all the number least to the greater. That gives 30, 75, 80, 85, 85, 95, 95, 100, 100, 110.
Afterwards you have to find the median. Why ?
I will explain you. It's because the median is robust. In fact, it can't be influenced by extreme values (example : 110) but the mean yes. So the mean won't be accurate.
"Then why don't you choose the mode ? " you will ask me. That's because the mode takes the number which appears most often in a set of numbers. It couldn't be accurate at all. It will be useless for this set of numbers.
Furthermore, here there are 3 numbers which appears the most ( 2 times for each) : $85, $95 and $100. Which one will you take ?
Therefore the median is the most suitable and the most accurate to know the center because it is robust.
Now, let's find the median :
There are 10 values, so the median will be the average of the 5th and 6th values.
5th value = 85
6th value = 95
Therefore the median is 90.
Hope this helps !
Photon