Answer:
Mean: 76
Median: 69
Mode: 63
Range: 46
Standard deviation: 15.5
Step-by-step explanation:
Given:
- Mean = 62
- Median = 55
- Mode = 49
- Range = 46
- Standard deviation = 15.5
If each value in the data set is increased by a constant k, the mean, median, and mode will be increased by k.
The range and standard deviation will remain unchanged.
Therefore, if each value in the data set is increased by 14:
- Mean: 62 + 14 = 76
- Median: 55 + 14 = 69
- Mode: 49 + 14 = 63
- Range: 46
- Standard deviation: 15.5
