Answer :
Let's solve the question step-by-step by calculating each of the required statistics: mean, median, and midrange for the given golf scores.
Given scores of the team are: 68, 62, 60, 64, 70, 66, and 64.
### 1. Calculating the Mean
The mean (average) is calculated by adding all the scores together and then dividing by the number of scores.
[tex]\[ \text{Mean} = \frac{68 + 62 + 60 + 64 + 70 + 66 + 64}{7} \][/tex]
Carrying out the addition:
[tex]\[ 68 + 62 + 60 + 64 + 70 + 66 + 64 = 454 \][/tex]
Now, divide by the number of scores (7):
[tex]\[ \text{Mean} = \frac{454}{7} = 64.857 \][/tex]
This approximates to 64.86 when rounded appropriately.
### 2. Calculating the Median
The median is the middle score when all the scores are arranged in ascending order. Let's order the scores:
60, 62, 64, 64, 66, 68, 70
Since there are 7 scores, the median will be the 4th score:
So, the median is 64.
### 3. Calculating the Midrange
The midrange is calculated as the average of the highest and lowest scores.
- The lowest score is 60.
- The highest score is 70.
[tex]\[ \text{Midrange} = \frac{60 + 70}{2} = \frac{130}{2} = 65 \][/tex]
### Conclusion
Now that we have our calculations:
- Mean ≈ 64.86
- Median = 64
- Midrange = 65
Comparing with the options:
- (a) Mean = 64, Median = 64, Midrange = 64
- (b) Mean = 65, Median = 64, Midrange = 66
- (c) Mean = 66, Median = 77, Midrange = 65
- (d) Mean = 66, Median = 66, Midrange = 66
The calculated values do not exactly match the given answer options precisely but approximate closest to option (b) considering potential rounding of the mean to whole numbers and average observations. Thus, option (b) is the most consistent with the calculations and is in the correct ballpark range.
Given scores of the team are: 68, 62, 60, 64, 70, 66, and 64.
### 1. Calculating the Mean
The mean (average) is calculated by adding all the scores together and then dividing by the number of scores.
[tex]\[ \text{Mean} = \frac{68 + 62 + 60 + 64 + 70 + 66 + 64}{7} \][/tex]
Carrying out the addition:
[tex]\[ 68 + 62 + 60 + 64 + 70 + 66 + 64 = 454 \][/tex]
Now, divide by the number of scores (7):
[tex]\[ \text{Mean} = \frac{454}{7} = 64.857 \][/tex]
This approximates to 64.86 when rounded appropriately.
### 2. Calculating the Median
The median is the middle score when all the scores are arranged in ascending order. Let's order the scores:
60, 62, 64, 64, 66, 68, 70
Since there are 7 scores, the median will be the 4th score:
So, the median is 64.
### 3. Calculating the Midrange
The midrange is calculated as the average of the highest and lowest scores.
- The lowest score is 60.
- The highest score is 70.
[tex]\[ \text{Midrange} = \frac{60 + 70}{2} = \frac{130}{2} = 65 \][/tex]
### Conclusion
Now that we have our calculations:
- Mean ≈ 64.86
- Median = 64
- Midrange = 65
Comparing with the options:
- (a) Mean = 64, Median = 64, Midrange = 64
- (b) Mean = 65, Median = 64, Midrange = 66
- (c) Mean = 66, Median = 77, Midrange = 65
- (d) Mean = 66, Median = 66, Midrange = 66
The calculated values do not exactly match the given answer options precisely but approximate closest to option (b) considering potential rounding of the mean to whole numbers and average observations. Thus, option (b) is the most consistent with the calculations and is in the correct ballpark range.
