{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {},
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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oqi6Oqrr549e3bWi7z77rv5mwhoT4QdwG6kZtniKIqWLFmyZMmStp4FaH+EHcBu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\nAABAEIQdAACAIAg7AAAAQRB2AAAAgvgHFys+XBknlaIAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Load necessary library\n",
    "library(ggplot2)\n",
    "\n",
    "# Generate random data\n",
    "set.seed(123)  # for reproducibility\n",
    "data <- data.frame(values = rnorm(1000, mean = 0, sd = 1))\n",
    "\n",
    "# Create a histogram\n",
    "ggplot(data, aes(x = values)) +\n",
    "  geom_histogram(binwidth = 0.2, fill = \"skyblue\", color = \"black\") +\n",
    "  labs(title = \"Histogram of Random Normal Data\",\n",
    "       x = \"Value\",\n",
    "       y = \"Frequency\") +\n",
    "  theme_minimal()\n",
    "geom_histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "c=5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] 5\n"
     ]
    }
   ],
   "source": [
    "print(c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3IV0kRxidAEqT6kXbnIVUjUTOUh7dJF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\nQoIAIUHA/wdC4bCxp+lYfwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(c(1, 2, 3), c(4, 5, 6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.4.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}