All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number.

1. Find the smallest dropdown number

2. What are the smallest and largest 4-digit dropdown numbers?

3. How many 3-digit dropdown numbers are there?

4. Is it possible for a pair of consecutive numbers to both be dropdown numbers? If not explain why not. If possible, find the smallest such pair.

Please provide working out for b, c and d. Thanks.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have:

All digits in a dropdown number are different, and one of its digits is the average of all its digits.

Here, dropdown numbers are not given.

So we are assuming the dropdown numbers are:

1023, 1024, 1025, 1026

The sum of the digits in the number 1023 is 6 and the average

= 6/4 = 1.5

The sum of the digits in 1024 is 7 and the average:

=7/4 = 1.75

The sum of the digits in 1025 is 8 and the average:

=8/4 = 2

The sum of the digits in 1026 is 9 and the average:

=9/4 = 2.25

The smallest number = 1025

The largest 4-digit number = 9999

The sum of the digits = 36

Average = 36/4 = 9

Similarly, we can find the remaining data.

Thus, the smallest number in a dropdown is 1025, and the largest number is 9999.

Learn more about the average here:

brainly.com/question/24057012

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