make up a set of at least twelve numbers that has the following landmarks. minimum:50 median:54 maximum:57 mode:56
Let the numbers in order be unknown:
x x x x x x x x x x x x
minimum,maximum make it
50 x x x x x x x x x x 57
with 12 numbers the median is the average of the middle 2; let's make it easy:
50 x x x x 54 54 x x x x 57
Mode is 56, so toss at least 3 of them in (we already have two 54's). What the heck, toss them all in on the right:
50 x x x x 54 54 56 56 56 56 57
Now just fill in 4 values between 50 and 54. Keeping integers,
50 51 52 52 53 54 54 56 56 56 56 57
Land mark for 50 54 57 56
Write each fractions as a whole or a mixed number
To create a set of numbers with the given landmarks, we need to ensure that the minimum value is 50, the median is 54, the maximum is 57, and the mode is 56. Here is one possible set that satisfies these conditions:
50, 51, 52, 53, 54, 54, 55, 56, 56, 56, 57, 57
In this set, the minimum value is 50, which is the lowest value. The median is 54, representing the middle value when the numbers are arranged in ascending order. The maximum value is 57, which is the highest value in the set. Lastly, the mode is 56, which is the most frequent value in the set.
It's important to note that this is just one example, and there could be other sets that meet the given criteria.