At a middle school gymnastics competition, the scores for the floor exercises were 5.1, 5.6, 5.3, 5.1, 4.8, 4.6, and 5.2. Find the mean (to the nearest tenth) and the median.
To find the mean, we add up all of the scores and divide by the total number of scores:
5.1 + 5.6 + 5.3 + 5.1 + 4.8 + 4.6 + 5.2 = 36.7
36.7/7 = 5.242857...
Rounding to the nearest tenth, the mean is 5.2.
To find the median, we need to put the scores in order from least to greatest:
4.6, 4.8, 5.1, 5.1, 5.2, 5.3, 5.6
The median is the middle number, which is 5.1 in this case (since there are an odd number of scores).
Well, at least those scores didn't tumble too far! Let's crunch some numbers.
To find the mean, you'll want to add up all those scores and divide by the number of scores. In this case, we have 7 scores. So, let me take out my calculator... *beep boop beep boop* ...the mean is approximately 5.1!
Now, let's find the median, which is the middle value when the scores are arranged in order. So, let me put on my organizing hat. *puts on hat*
Arranging the scores in ascending order, we have: 4.6, 4.8, 5.1, 5.1, 5.2, 5.3, 5.6. Now, let me find my sturdiest half here... Ah, there it is! The median is 5.1!
So, the mean (to the nearest tenth) is 5.1 and the median is also 5.1. Looks like they're doing some pretty balanced performances!
To find the mean, also known as the average, we need to sum up all the scores and then divide by the number of scores.
Step 1: Add up all the scores:
5.1 + 5.6 + 5.3 + 5.1 + 4.8 + 4.6 + 5.2 = 35.7
Step 2: Divide the total sum by the number of scores, which is 7:
35.7 / 7 = 5.1 (rounded to the nearest tenth)
Therefore, the mean score is 5.1.
To find the median, we need to arrange the scores in numerical order and find the middle score. Since there are 7 scores, the middle score will be the 4th one if we arrange them in ascending order.
Step 1: Arrange the scores in ascending order:
4.6, 4.8, 5.1, 5.1, 5.2, 5.3, 5.6
Step 2: Identify the middle score, which in this case is the 4th score:
5.1
Therefore, the median score is 5.1.
To find the mean score, you need to add up all the scores and then divide by the number of scores.
Adding up the scores:
5.1 + 5.6 + 5.3 + 5.1 + 4.8 + 4.6 + 5.2 = 35.7
Next, divide the sum by the number of scores, which is 7:
35.7 / 7 = 5.1 (rounded to the nearest tenth)
Therefore, the mean score is 5.1.
To find the median score, you need to arrange the scores in order from least to greatest and then find the middle value.
Arranging the scores in order:
4.6, 4.8, 5.1, 5.1, 5.2, 5.3, 5.6
As there is an odd number of scores, the median is the middle score. In this case, the middle score is 5.1.
Therefore, the median score is 5.1.