1.2.18 Variance for accumulator. Validate that the following code, which adds the methods var () and stddev () to Accumulator, computes both the mean and variance of the numbers presented as arguments to addDataValue(): public class Accumulator { private double m; private double s; private int N; public void addDataValue (double x) { N++; 1.0 (N-1) / N * (x m) * (x

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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1.2.18 Variance for accumulator. Validate that the following code, which adds the
methods var () and stddev () to Accumulator, computes both the mean and variance
of the numbers presented as arguments to addDataValue():
public class Accumulator
{
}
private double m;
private double s;
private int N;
public void addDataValue (double x)
{
}
N++;
S = s + 1.0 * (N-1) / N * (x - m) * (x - m);
m = m + (x - m) / N;
public double mean()
{ return m; }
public double var()
{ return s/(N - 1); }
public double stddev()
{ return Math.sqrt(this.var()); }
This implementation is less susceptible to roundoff error than the straightforward im-
plementation based on saving the sum of the squares of the numbers.
Transcribed Image Text:1.2.18 Variance for accumulator. Validate that the following code, which adds the methods var () and stddev () to Accumulator, computes both the mean and variance of the numbers presented as arguments to addDataValue(): public class Accumulator { } private double m; private double s; private int N; public void addDataValue (double x) { } N++; S = s + 1.0 * (N-1) / N * (x - m) * (x - m); m = m + (x - m) / N; public double mean() { return m; } public double var() { return s/(N - 1); } public double stddev() { return Math.sqrt(this.var()); } This implementation is less susceptible to roundoff error than the straightforward im- plementation based on saving the sum of the squares of the numbers.
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