Write four arithmetic means between 35 and 98.

mean = Σscores/number of scores

Without any other data, any number, but probably closer to the midrange between these two numbers.

To find four arithmetic means between 35 and 98, we need to find the common difference between the terms and then use it to calculate the remaining terms.

Step 1: Determine the common difference (d):
The common difference is the difference between two consecutive terms in an arithmetic sequence. We can find it by subtracting the first term from the second term or vice versa.

Second term - first term = 98 - 35 = 63

Step 2: Calculate the arithmetic means:
To find the arithmetic means, we add the common difference to each term in the sequence.

First mean = 35 + d = 35 + 63 = 98
Second mean = first mean + d = 98 + 63 = 161
Third mean = second mean + d = 161 + 63 = 224
Fourth mean = third mean + d = 224 + 63 = 287
Fifth mean = fourth mean + d = 287 + 63 = 350

Therefore, the four arithmetic means between 35 and 98 are 98, 161, 224, and 287.