5. A set of a data consists of five numbers. The mode is 2. The medion is 3, the mean is 4. The difference between the largest and smallest number is 6. What are the five numbers?
Answer (1)
Answer:2, 2, 3, 5, 8Step-by-step explanation:"mode" means the one with highest frequency, meaning it's the number that is repeated the most, meaning there are atleast two pieces of number 2 which gives us our first numbers which are 2, 2, next is the "median" which means it is the number found kn the middle of the data set, since there are 5 numbers, then the number 3 is the third number, so we have 2, 2, 3. next is "the difference between the largest and smallest number is 6, so largest - smallest = 6 and we know that the smallest number is 2, therefore largest - 2 = 6, thus, largest = 6+2 = 8. so we have 2, 2, 3, _, 8. next is we are given the "mean" which means the average of the five numbers, and the average is obtained by adding all numbers then dividing it by how many numbers there are, so: (2+2+3+_+8) ÷ 5 = 42+2+3+_+8 = 4×5 = 20_ = 20-2-2-3-8_ = 5therefore we have the data of five numbers which are 2,2,3,5,8.
