Question

[10p] Write a Linux script that takes as input an integer number N and outputs the Geometric and Arithmetic means of the integer numbers from 1 to N.

Answer 1

The question involves writing a Linux script to calculate the Geometric and Arithmetic means of numbers from 1 to N. A sample Bash script is provided which uses loops to find the sum and product of numbers for the Arithmetic and Geometric means respectively, and then calculates these means.

Step-by-step explanation:

Calculating Geometric and Arithmetic Means in Linux

To calculate the Geometric and Arithmetic means of integer numbers from 1 to N using a Linux script, follow the below process. The Geometric mean is calculated by taking the nth root of the product of the numbers, while the Arithmetic mean is simply the sum of the numbers divided by the count of numbers.

Here is a sample Bash script for this purpose:

#!/bin/bash
read -p "Enter the value of N: " N

# Calculate arithmetic mean
sum=0
for (( i=1; i<=N; i++ )); do
sum=$((sum + i))
done
arithmetic_mean=$(echo "$sum / $N" | bc -l)
echo "Arithmetic Mean: $arithmetic_mean"

# Calculate geometric mean
prod=1
for (( i=1; i<=N; i++ )); do
prod=$((prod * i))
done
geometric_mean=$(echo "e( l($prod) / $N )" | bc -l)
echo "Geometric Mean: $geometric_mean"

Ensure this script is executable by running chmod +x scriptname.sh. After executing the script, it asks for the value of N and then outputs the Geometric and Arithmetic means.