Answer :
Let's go through the step-by-step process to determine the mean, median, and midrange of the scores: [tex]\(68, 62, 60, 64, 70, 66, 72\)[/tex].
### Step 1: Calculate the Mean
The mean is calculated by adding all the scores together and dividing by the number of scores.
1. Add the scores:
[tex]\[ 68 + 62 + 60 + 64 + 70 + 66 + 72 = 462 \][/tex]
2. Divide by the number of scores (7 in this case):
[tex]\[ \text{Mean} = \frac{462}{7} = 66 \][/tex]
### Step 2: Calculate the Median
The median is the middle value when the scores are arranged in ascending order.
1. Arrange the scores in ascending order:
[tex]\[ 60, 62, 64, 66, 68, 70, 72 \][/tex]
Since there are 7 scores (an odd number), the median is the fourth score:
[tex]\[ \text{Median} = 66 \][/tex]
### Step 3: Calculate the Midrange
The midrange is calculated by adding the smallest and largest scores and then dividing by 2.
1. Identify the minimum and maximum scores:
- Minimum score is [tex]\(60\)[/tex]
- Maximum score is [tex]\(72\)[/tex]
2. Calculate the midrange:
[tex]\[ \text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66 \][/tex]
Hence, the final answers are:
- Mean = 66
- Median = 66
- Midrange = 66
Therefore, the correct option is:
Mean [tex]\(= 66\)[/tex], Median [tex]\(= 66\)[/tex], Midrange [tex]\(= 66\)[/tex]
### Step 1: Calculate the Mean
The mean is calculated by adding all the scores together and dividing by the number of scores.
1. Add the scores:
[tex]\[ 68 + 62 + 60 + 64 + 70 + 66 + 72 = 462 \][/tex]
2. Divide by the number of scores (7 in this case):
[tex]\[ \text{Mean} = \frac{462}{7} = 66 \][/tex]
### Step 2: Calculate the Median
The median is the middle value when the scores are arranged in ascending order.
1. Arrange the scores in ascending order:
[tex]\[ 60, 62, 64, 66, 68, 70, 72 \][/tex]
Since there are 7 scores (an odd number), the median is the fourth score:
[tex]\[ \text{Median} = 66 \][/tex]
### Step 3: Calculate the Midrange
The midrange is calculated by adding the smallest and largest scores and then dividing by 2.
1. Identify the minimum and maximum scores:
- Minimum score is [tex]\(60\)[/tex]
- Maximum score is [tex]\(72\)[/tex]
2. Calculate the midrange:
[tex]\[ \text{Midrange} = \frac{60 + 72}{2} = \frac{132}{2} = 66 \][/tex]
Hence, the final answers are:
- Mean = 66
- Median = 66
- Midrange = 66
Therefore, the correct option is:
Mean [tex]\(= 66\)[/tex], Median [tex]\(= 66\)[/tex], Midrange [tex]\(= 66\)[/tex]
