find a zscore using sigma mean and sample size in r

To find the z-score using sigma, mean, and sample size in R programming language, we can use the following formula:

main.r
z <- (x - m) / (s / sqrt(n))
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Where:

  • x is the value for which we want to calculate the z-score.
  • m is the mean value of the sample.
  • s is the standard deviation of the sample.
  • n is the sample size.

Here's an example R code to calculate z-score using the above formula:

main.r
# Sample data
data <- c(10.2, 9.7, 12.3, 8.4, 11.9, 10.6, 9.8, 12.1, 10.5, 11.2)
x <- 10 # The value for which we want to calculate the z-score.

# Calculate mean, standard deviation, and sample size
m <- mean(data)
s <- sd(data)
n <- length(data)

# Calculate the z-score
z <- (x - m) / (s / sqrt(n))

# Print the z-score
cat("The z-score for", x, "is", z)
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In this example, we have a sample data consisting of 10 observations. We want to find the z-score for a value of 10. We first calculate the mean, standard deviation, and sample size of the data using R built-in functions mean(), sd(), and length(), respectively. We then use the above formula to calculate the z-score and print the result.

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