The mode of the data is a. 5 b. 6 c. 7 d. 8 e. 10 60. The mean of the data is a. 5 b. 6 c. 7 d. 8 e. 10
The correct answer and explanation is:
Mode:
The mode is the value that appears most frequently in a dataset. Let’s analyze the data:
5, 12, 6, 8, 5, 6, 7, 5, 12, 4, 58
- 5 appears 3 times
- 12 appears 2 times
- 6 appears 2 times
- All other numbers appear once.
Since 5 appears most frequently (3 times), the mode of the data is 5.
Mean:
The mean is the sum of all the data values divided by the number of values in the dataset. To calculate the mean, follow these steps:
- Add all the numbers together: 5+12+6+8+5+6+7+5+12+4+58=1285 + 12 + 6 + 8 + 5 + 6 + 7 + 5 + 12 + 4 + 58 = 128
- Count the number of values in the dataset: There are 11 values.
- Divide the sum by the number of values to find the mean: 12811≈11.64\frac{128}{11} \approx 11.64
The mean is approximately 11.64. However, none of the given options match this value exactly, suggesting there might be a mistake in the options provided. Given the options, none of them can be the correct mean based on the data.
But if there was an error and the options are for an adjusted dataset, the mean should have been recalculated using the correct values.