Question

What's the score? Jermaine has entered a bowling tournament. To prepare, he bowls five games each day and writes down the score of each game, along with the mean of five scores. He is looking at the scores from one day last week and finds that one of the numbers has accidentally been erased. The four remaining scores are 260, 206, 261, and 269. The mean score of the five games is 254. What is the missing score?

Answer 1

Step-by-step explanation:

To find the missing score, we can use the formula for the mean of a set of numbers. The mean of a set of numbers is equal to the sum of the numbers divided by the number of elements in the set.

In this case, we have five scores, and the mean of those five scores is 254. So, we can set up the following equation:

(260 + 206 + 261 + 269 + missing score) / 5 = 254

Next, we can simplify the left side of the equation by substituting the known values:

(260 + 206 + 261 + 269 + missing score) / 5 = 254

(996 + missing score) / 5 = 254

996 + missing score = 5 * 254

996 + missing score = 1270

Now, we can subtract 996 from both sides of the equation to isolate the missing score:

missing score = 1270 - 996

missing score = 274

So, the missing score is 274.