Find the missing numbers and landmarks for the set of numbers:
18,20,20,24,27,27,__,30,33,34,36,36,__
A range:22
B mode:27
C Minimum ____
D Maximum ____
To find the missing numbers and landmarks for the given set of numbers (18, 20, 20, 24, 27, 27, __, 30, 33, 34, 36, 36, __), let's go through each option.
A) The range is the difference between the maximum and minimum values in a set of numbers. To find it, we need to determine the maximum and minimum values first.
B) The mode is the number that appears most frequently in a set of numbers.
C) The minimum value is the smallest number in the set.
D) The maximum value is the largest number in the set.
Now, let's calculate these values step by step.
Step 1: Sort the given set of numbers in ascending order:
18, 20, 20, 24, 27, 27, __, 30, 33, 34, 36, 36, __
Step 2: Identify the maximum and minimum values:
The maximum value is the largest number in the set, which is 36.
The minimum value is the smallest number in the set, which is 18.
Step 3: Calculate the missing numbers:
To find the missing numbers, we can observe the pattern in the given set of numbers. We see that the numbers increase by 2, then 4, and then 3, and this pattern repeats. Therefore, we can apply this pattern to determine the missing numbers.
The missing number after 27 will increase by 2. So, the missing number is 29.
The missing number after 36 will decrease by 3. So, the missing number is 33.
Now, let's fill in the missing numbers and click on the corresponding options:
18, 20, 20, 24, 27, 27, 29, 30, 33, 34, 36, 36, 33
A) Range: The difference between the maximum and minimum values is 36 - 18 = 18, not 22. So, option A is incorrect.
B) Mode: The mode is the number that appears most frequently. In this set, 27 appears twice, which is more than any other number. So, the mode is 27. Hence, option B is correct.
C) Minimum: The minimum value in the set is 18. So, option C is correct.
D) Maximum: The maximum value in the set is 36. So, option D is correct.
Therefore, the correct options are B, C, and D.