I have to answer this question for my homework and I have spent hours trying to research it but I haven't come across an answer. I thought it may be 10 but then I realised that it would mean that the range was zero and I need them all to be ten.
[Math] a set of seven numbers that have a mean median mode and range of 10
averagemeansmedian
Best Answer
You can first start with 7 10s. $$10,10,10,10,10,10,10$$ Now, to make the range 10 as well, the greatest and least value must differ by 10. In other words, you want a set of two numbers that have a mean of 10, but a range of 10. We see that $5,15$ works. So we combine that set with another set of 5 10s. $$5,10,10,10,10,10,15$$ If we have another set with a range of 10, for example $4,14$, we need another value to balance the drop in the mean. We can add a 12 to make $$4,10,10,10,10,12,14$$