there are 5 whole numbers in a data set. the least number is 14 and the greatest number is 25. the mean and median are both 19.what numbers could be the values in the data set?
i got:
14 19 25.
I do not know how to get the other two missing numbers in the data set? Please advice me.
well, if you have 5 numbers whose mean is 19, then they must add up to 5*19 = 95
Your sum so far is 58
So, you need two more numbers which add up to 37. Since your median is 19, you need one less than 19 and one greater than 19.
So, how about
14 17 19 20 25
You can surely find other pairs which also work.
To find the other two missing numbers in the data set, we need to consider the conditions given: the least number is 14, the greatest number is 25, and the mean and median are both 19.
Since the mean and median are both 19, we can calculate the sum of the five numbers by multiplying the mean by the number of values in the data set (5), which gives us 19 * 5 = 95.
We know that the least number is 14 and the greatest number is 25. To find the remaining two numbers, we subtract the sum of the known numbers (14 + 25 = 39) from the total sum (95).
95 - 39 = 56.
Now we have the sum of the remaining two unknown numbers, which is 56. To find the two numbers that add up to 56 and meet the given conditions, we can list all possible pairs of numbers whose sum is 56. Potential pairs could be (1, 55), (2, 54), (3, 53), and so on.
However, since we are looking for whole numbers, we can narrow down the possibilities. In this case, (28, 28) is the only pair of whole numbers that adds up to 56.
Therefore, the possible values for the data set are:
14, 19, 25, 28, 28.