day 9 data analysis assesment

Answer 1

1. Given the following dataset: [5, 10, 15, 20, 25, 30], calculate the mean, median, mode, range, and standard deviation.

Mean = (5 + 10 + 15 + 20 + 25 + 30) / 6 = 15
Median = 15 (middle value)
Mode = There is no mode as all values are unique
Range = 30 - 5 = 25
Standard Deviation = √((Σ(xi - x̄)²) / n ) = √((0 + 25 + 100 + 225 + 400 + 625) / 6) = √(1375 / 6) ≈ 8.29

2. In a survey of 50 people, the following data was collected on their age: {20, 25, 30, 35, 40, 45, 50}. Calculate the mean, median, mode, range, and standard deviation for this dataset.

Mean = (20 + 25 + 30 + 35 + 40 + 45 + 50) / 7 = 32.14
Median = 35 (middle value)
Mode = There is no mode as all values are unique
Range = 50 - 20 = 30
Standard Deviation = √((Σ(xi - x̄)²) / n ) = √((225 + 100 + 25 + 25 + 100 + 225 + 400) / 7) = √(1100 / 7) ≈ 8.98

3. Given the following dataset: [10, 20, 30, 40, 50, 60], calculate the mean, median, mode, range, and standard deviation.

Mean = (10 + 20 + 30 + 40 + 50 + 60) / 6 = 35
Median = 35 (middle value)
Mode = There is no mode as all values are unique
Range = 60 - 10 = 50
Standard Deviation = √((Σ(xi - x̄)²) / n ) = √((625 + 225 + 25 + 225 + 625 + 1225) / 6) = √(2950 / 6) ≈ 9.11

These calculations provide a summary of the central tendency and spread of the data in each dataset.