What is the median of the data set? {17, 40, 23, 44, 44, 30} Enter your answer in the box.
1 answer:
To find the median of the data set, we must first order them from lowest to highest in increasing order. Let's rearrange them in that way:
{17, 23, 30, 40, 44, 44}
Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.
What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:
So now we know that the median of the set of data is 35.
{17, 23, 30, 40, 44, 44}
Then we begin by crossing one off from each side, until we get to the middle. However, we see that our middle here is both 30 and 40.
What we do in a case like this is add up the two numbers and divide by 2 (essentially find the mean of the two middlemost numbers). Let's do that now:
So now we know that the median of the set of data is 35.
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Answer:
9 and 11
Step-by-step explanation:
So let's say that the first integer is x.
That means that the second integer is x+2, since it us the next odd number.
This problem can be easily solved with our mind the answer is 9 and 11, but I'll show you the steps to slove this.
We make an equation using these two numbers:
Now all we gotta do is solve for x:
Now we use either splitting the middle term or quadratic formula:
Now we split each terma and solve for x:
Now the question states <em>positive </em>so we can rule out x = -11.
Now we have the first integer x = 9,
the second integer is x+2 = 9+2 =11
So the two consecutive positive odd integers are 9 and 11