The greatest number can be as large as 81.
<u>Step-by-step explanation:</u>
Given that,
- A set of five different positive integers has a mean of 33 and a median of 40.
- We need to find the set of five different positive integers.
We already know that,
- The term "median" is the middle term which is 40.
- Therefore, if you do not include 0 in positive integers, then the first two positive integers below the median value of 40 to be as low as possible are 1 and 2.
- The median 40 will be the third positive integer of the set.
- Therefore, the fourth positive integer should be the next lowest possible value of 40 which is 41.
With simple algebra you can figure out the last greater number.
-
The set of five different positive integers is given as {1,2,40,41,x}.
- Let, x be the last greater number in the set.
The term "mean" is defined as the sum of all the integers in the set divided by the number of integers in the set.
⇒ Mean = (1+2+40+41+x) / 5
⇒ 33 = (84+x) / 5
⇒ 33×5 = 84 + x
⇒ 165 - 84 = x
⇒ 81 = x
∴ The greatest number can be as large as 81.
13/20 in decimal form is 0.65
Answer:
(−1, –1.25), (5, –2.75)
Step-by-step explanation:
If "slope-intercept form" is mentioned, then we already know that the function rule is that of a straight line with slope m and y-intercept b.
As we go from (−1, –1.25) to (5, –2.75), x increases by 6 and y decreases by 1.50. Thus, the slope, m, is m = rise / run = -1.50 / 6, or m = -0.25 or -1/4.
Choosing one of the given points at random: (8, -3.5), we start with the slope-intercept form y = mx + b and substitute -1/4 for m, 8 for x and -3.5 for y: y = mx + b becomes -3.5 = (-1/4)(8) + b. Then -3.5 + 2 = b, or b = -1.5.
The desired equation is y = (-1/4)x - 3/2, or y = -0.25x - 1.5
Answer:
0.17857142857
Step-by-step explanation:
just divide the three numbers is all u have to do
Answer:
2.4
Step-by-step explanation:
We have to find the mean first
Now we have to find deviations.
Note that the deviations are calculated by subtracting the mean from the value. The distance is always positive so the deviations will be positive
Value Deviation
2 2-4.5 = |-2.5| = 2.5
4 4-4.5 = |-0.5| = 0.5
7 7-4.5 = 2.5
2 2-4.5 = |-2.5| = 2.5
3 3-4.5 = |-1.5| = 1.5
7 7-4.5 = 2.5
9 9-4.5 = 4.5
3 3-4.5 = |-1.5| = 1.5
1 1-4.5 = |-3.5| = 3.5
7 7-4.5 = 2.5
The last step is to find the mean of deviations.
The mean absolute deviation of given data set is 2.4 ..