Question

if the median of 127 numbers is 35, which of the following must be true? i) at least 64 of the numbers are greater than or equal to 35 ii) at least 64 of the numbers are smaller than 35 iii) at most 64 numbers are greater than or equal to 35

Answer 1

Option i) At least 64 of the numbers are greater than or equal to 35 must be true

Since the median is 35, we know that there are 63 numbers greater than 35 and 63 numbers smaller than 35. However, since there is an odd number of total numbers (127), the median itself must be included in one of these groups. Therefore, there are at least 64 numbers that are greater than or equal to 35.