Question

bob is rolling a die and recording the number of spots showing. he rolled 8 times and the results were:
5 spot, 2 spot, 5 spot, 2 spot, 1 spot, 2 spot, 6 spot, 4 spot
what was the median number of spots rolled?
□ spot

Explanation:

Step1: List the data points

The results are: 6, 2, 5, 2, 1, 3, 6, 4

Step2: Sort the data in order

Sorted data: 1, 2, 2, 3, 4, 5, 6, 6

Step3: Find the median

Since there are 8 values (even), median = average of 4th and 5th values: $\frac{3 + 4}{2} = 3.5$? Wait, correction: Wait 8 values, positions 4 and 5 are 3 and 4? Wait sorted list: 1(1st),2(2nd),2(3rd),3(4th),4(5th),5(6th),6(7th),6(8th). Yes, median = (3+4)/2 = 3.5? But wait maybe I miscounted the data points. Wait original data: let's recount the problem statement: "He rolled 8 times and the results were: 6 spot, 2 spot, 5 spot, 2 spot, 1 spot, 3 spot, 6 spot, 4 spot" – that's 8 values. So median is average of 4th and 5th: (3 +4)/2=3.5. But maybe the problem expects integer? Wait no, median can be decimal. Wait wait, did I sort correctly? Yes: 1,2,2,3,4,5,6,6. So median is 3.5. But maybe the problem has a typo? Or maybe I misread. Wait no, let's confirm: median of even number of observations is average of middle two. So 3.5 is correct. But maybe the problem expects 3? No, 3 and 4 are middle, average is 3.5. So final answer is 3.5.

Wait correction: Let's recheck the data points again to be sure: the results listed are 6,2,5,2,1,3,6,4 – 8 numbers. Sorted: 1,2,2,3,4,5,6,6. Middle two are 3 and 4. Average is (3+4)/2=3.5. So the median is 3.5.

Step1: List all results

6, 2, 5, 2, 1, 3, 6, 4

Step2: Sort the results

1, 2, 2, 3, 4, 5, 6, 6

Step3: Calculate median

Average of 4th and 5th values: $\frac{3 + 4}{2} = 3.5$

Answer:

3