First, we need to put the numbers in order...
58,60,69,71,78,78,85,85,86,87,88,91,93,95,95,95,96,98,100,100
and since there is an even number of numbers (20), we need to find the 2 middle numbers and divide them by 2 to find the median (Q2)
Q2 (the median) = (87 + 88) / 2 = 175/2 = 87.5
now we take all the numbers below 87.5...and find the median (middle number) and that number will be Q1...there is 2 middle numbers...so we add them and divide by 2
Q1 = (78 + 78) / 2 = 156/2 = 78
now we take all the numbers after 87.5....and find the median...there will be 2 numbers, so we add them and divide by 2..that wil be Q3
Q3 = (95 + 95) / 2 = 190/2 = 95
So in summary :
Q1 = 78 <==
Q2 = 87.5
Q3 = 95 <==
The interquartile range (IQR) is found by subtracting Q1 from Q3.
IQR = 95 - 78 = 17 <==
Answer:
35%
Step-by-step explanation:
Find the percent by dividing 98 by 280
98/280
= 0.35
So, 98 is 35% of 280
Answer:
2.4 litres
Step-by-step explanation:
volume of a rectangular container = length x breadth x height/depth
volume of the rectangular container = 20cm x 12cm x 15cm
= 3600 cm³
volume filled with water = 2/3 x 3600 =2,400cm³
1000cm³ = 1 litre
therefore 2,400cm³ = 2400/1000 = 2.4 litres
Answer:
The value of n for (a) n=425. (b) n=0.
Step-by-step explanation:
Given integration is,
(a) For Trapezoidal Rule : Composite error is,
Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,
|
According to the question, we must choose n such that,
So we can take n=425.
(b) For Simpson 1/3 rule : Composite error is,
where, 
In this problem 
, so that,
that is there exist no error. So n=0.
After guessing and checking, the answer is around 68.8. You can use this problem to find the answer in much more reliable ways as well.
