This is a very good visual representation. Whether it is the best, or not, depends on the purposes:
First, you can see right away where the top 25% (4th quartile) scored by looking at the right hand whisker.
Second, you get two measures of variation for the data, the range and the interquartile range. Finally, by looking at the left whisker, you can see that most of the variation comes from the bottom quartile: 3/4 of the students scored between 80 and 100, while 1/4 scored between 80 and 50.
As a teacher, I would want more detail about the bottom quartile. It might be that one student scored 50 and everyone else scored between 70 and 80. But I wouldn't need to have it graphically represented. This graph shows me that the class overall is in good shape: The median is close to 90. But there is at least one student, and up to 25 % of the class who did poorly on an exam that otherwise looks very easy.
n, n+1 - two consecutive integers
n(n + 1) = 50 <em>use distributive property</em>
n² + n = 50 <em>subtract 50 from both sides</em>
n² + n - 50 = 0
-----------------------------------------------------
ax² + bx + c =0
if b² - 4ac > 0 then we have two solutions:
[-b - √(b² - 4ac)]/2a and [-b - √(b² + 4ac)]/2a
if b² - 4ac = 0 then we have one solution -b/2a
if b² - 4ac < 0 then no real solution
----------------------------------------------------------
n² + n - 50 = 0
a = 1, b = 1, c = -50
b² - 4ac = 1² - 4(1)(-50) = 1 + 200 = 201 > 0 → two solutions
√(b² - 4ac) = √(201) - it's the irrational number
Answer: There are no two consecutive integers whose product is 50.
Answer:
When writing your own two-column proof, keep these things in mind:
Number each step.
Start with the given information.
Statements with the same reason can be combined into one step. ...
Draw a picture and mark it with the given information.
You must have a reason for EVERY statement.
Step-by-step explanation:
Answer:
880
Step-by-step explanation:
20 x 10% = 2
20 + 2 = 22
22 x 40 = 880
Answer:
1/7 is greater than 1/10 using coordinates and its area of the division concept.
Step-by-step explanation:
We have to draw two identical rectangles and have to shade them.
Here is the diagram attached with.<em> (With some approximation)</em>
We can see that
.
Rectangles are identical.
When we look upon
it can be observed that each division on the coordinate plane have 2 boxes only...
Where as
fraction consists more than 2 boxes ..
So we can say that the area covered for each division in
is more than that of
.
Mathematical concept:
If the numerator are same then to compare fractions we look upon denominators values.
Greater the denominator lesser is the fraction values.
So,
Finally we can say that 1/7 is greater than 1/10 .