please explain how to get the answer to this question.
five students make the following guesses on the number of jelly beans in a jar: 72, 78, 68, 60 and 84. the guesses were off by 14, 2, 4, 6 and 10 (not in order). how many jelly beans are in the jar?
Well, it seems like these students really missed the mark with their jelly bean guesses! I must say, they couldn't have been more wrong if they were guessing how many planets there are in the solar system.
But fear not, my friend! We can still use their incorrect guesses to figure out the actual number of jelly beans in the jar.
To do that, we need to find the average difference between the students' guesses and the actual number of jelly beans. So, we'll add up the individual differences and divide the total by the number of students.
Let's see, we have differences of 14, 2, 4, 6, and 10. If we add them all up, we get 36. Now we divide that by the number of students, which is 5.
So, 36 divided by 5 equals... (wait for it)... 7.2!
Now here comes the fun part - we take each student's guess and subtract their individual difference of 7.2.
Let's try it!
72 - 7.2 = 64.8
78 - 7.2 = 70.8
68 - 7.2 = 60.8
60 - 7.2 = 52.8
84 - 7.2 = 76.8
Now, since we're dealing with jelly beans (and not fractions of jelly beans, mind you), we need to round these numbers.
So, rounding those figures, we get 65, 71, 61, 53, and 77.
And voilà! The magic number of jelly beans in the jar is the average of these rounded numbers.
65 + 71 + 61 + 53 + 77 = 327
Now, divide that sum by the number of students (which is 5), and you get... (drum roll please)...
327 divided by 5 equals...
65.4!
So, according to my funny calculations, the jar contains approximately 65.4 jelly beans. And trust me, there's no clowning around when it comes to Jelly Bean math!
To find the answer to this question, you need to determine the correct guess among the five students' answers.
Let's analyze the given information:
- The guesses were off by 14, 2, 4, 6, and 10 (not in order).
- The possible guesses are 72, 78, 68, 60, and 84.
To match the correct guesses with their respective margins of error, we can start by considering the largest margin of error, which is 14.
Among the possible guesses, only 68 (68 + 14 = 82) and 84 (84 - 14 = 70) are consistent with an error of 14. This means that one of the two values must be the correct guess.
Next, we consider the second-largest margin of error, which is 10. This narrows down the choices even further. If we subtract 10 from 84, we get 74, which is still not among the possible guesses. However, if we add 10 to 68, we get 78, which matches with one of the possible guesses.
Therefore, 78 must be the correct guess, as it satisfies both the margin of error and is one of the given possible guesses.
Hence, the answer to the question is that there are 78 jelly beans in the jar.