Statistical Analysis of Peach Diameter Length in 2021 Breeding Group
What are the statistical values associated with the Peach diameter data set?
Calculate the mean, standard deviation, variance, and the 95% confidence interval based on the provided data.
Statistical Values:
Mean (X) = 4.8 cm
Standard deviation (S) = 0.941
Variance (S²) = 0.89
95% Confidence Interval (CI 95%) = 0.75
Statistical Analysis of Peach Diameter Data Set
The data set consists of peach diameter lengths in centimeters from the 2021 breeding group: 3.8, 4.1, 4.5, 4.6, 5.1, 5.2, 5.2, 5.5
Calculation of Mean (X)
The mean of the data set is calculated by summing all the data values and dividing by the total number of data values.
X = (3.8 + 4.1 + 4.5 + 4.6 + 5.1 + 5.2 + 5.2 + 5.5) / 8
X = 4.8 cm
Calculation of Standard Deviation (S)
Standard deviation measures the variation from the mean value.
The formula to calculate standard deviation: S = √(1/n * Σ(Xi-X)²)
S = 0.941
Calculation of Variance (S²)
Phenotypic variance measures the genetic and environmental factors affecting trait variation.
The formula to calculate variance: S² = Σ(Xi-X)² / (n-1)
Variance (S²) = 0.89
Calculation of 95% Confidence Interval (CI 95%)
The 95% confidence interval estimates the range where the true population mean lies.
The formula for CI 95%: CI 95% = 1.96 * S / √n
95% Confidence Interval (CI 95%) = 0.75