The five-number summary comprehends the minimum and maximum values, the 1st and 3rd quartiles and the median.
1st step: is to arrange the data sets from least to greatest.
Sherelle:
26 39 56 58 60 62 65 66 66 68 71 72 72 73 74 75 81 83 84 85
Venita:
44 45 51 51 53 53 55 57 58 62 65 66 69 69 70 73 75 77 78 79
2nd step: To calculate each quartile you have to determine their position and then identify which observation sits in that position:
Quartile 1:
PosQ₁: n/4= 20/4= 5
Quartile 2 (Median)
PosMe: n/2= 20/2= 10
Quartile 3
PosQ₃: n*(3/4)= 20*(3/4)= 15
Since both samples have the same size, the 1st quartile will be the fifth observation of each sample, the median will be the tenth observation and the 3rd quartile will be the fifteenth.
Sherelle:
Q₁: 60
Me: 68
Q₃: 74
Minimum: 26
Maximum: 85
Venita:
Q₁: 53
Me: 62
Q₃: 70
Minimum: 44
Maximum: 79
Answer:
The larger number is 60
The smaller number is 14
Explanation:
Assume that the larger number is x and that the smaller number id y.
We are given that:
1- The sum of the two numbers is 74. This means that:
x + y = 74
This equation can be rewritten as:
x = 74 - y .............> I
2- Four times the smaller number (4y) subtracted from the larger number (x), the result would be 4. This means that:
x - 4y = 4 ..............> II
Substitute with I in II and solve for y as follows:
x - 4y = 4
74 - y - 4y = 4
74 - 5y = 4
5y = 70
y = 70/5
y = 14
Substitute with the value of y in equation I to get x as follows:
x = 74 - y
x = 74 - 14
x = 60
Hope this helps :)
Answer:
15 hrs.
Step-by-step explanation:
204/4 = 51 miles per hrour
765/51 = 15 hrs.
Answer:
-822
Step-by-step explanation:
Let's make an equation (explicit of course)
3 - 14 = -11
d = -11
Now we are ready to make an equation!
f(n) = x first term + d(n-1)
=
f(n) = 14 - 11(n-1)
Let's substitute 77 for n!
f(77) = 14 - 11(77-1)
f(77) = 14 - 11(76)
=
14 - 836 = -822
We can write 2 1/4 as 9/4
So, 6 / 9/4 = 6*4/9 = 24/9 = 2.66