35 ÷ 21/13 = 455/27 or 1623/27
20,21,21,24,25,26,35
15,21,21,24,25,31,35.
11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37...
One solution is: 15 21 21 24 25 30 35. There are additional solutions.
13
The numbers are 15 21 21 24 25 26 35.
21
43
21/35 - 10/35 = 11/35
35 ÷ 21/13 = 455/27 or 1623/27
There is no such data set for 7 numbers. With the maximum at 35 and the range 20, the mode (average) will always be more than 21, even with the lowest numbers possible. e.g. 15 15 15 24 24 24 35 sums to 152, which is 5 higher than the necessary 147 (21 x 7) So you need at least 11 numbers such as 15 15 15 15 15 24 24 24 24 25 35, keeping 24 as the median and the average 21 (231/11).
20,21,21,24,25,26,35
Jeopardy - 1984 11-35 was released on: USA: 21 October 1994
21 Jump Street - 1987 16 Blown to 35 1-11 was released on: USA: 21 June 1987
15,21,21,24,25,31,35.
Modern Marvels - 1994 Engineering Disasters 21 13-35 was released on: USA: 25 October 2007