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    "# Practice Problems\n",
    "### Lecture 9\n",
    "Answer each number in a separate cell\n",
    "\n",
    "Rename this notebook with your last name and the lecture \n",
    " \n",
    " ex. Cych_B_09\n",
    "    \n",
    "Turn-in this notebook on Canvas.  "
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    "1. Pandas: methods and filters \n",
    "    - Import the file 'Datasets/minutes_velocity.csv' into a **Pandas DataFrame**.\n",
    "    - Find the median velocity from this **DataFrame** (use the function **Series.median( )**). Print the median value\n",
    "    - Find the mean velocity (use the function **Series.mean( )**). Print the mean value\n",
    "    - Filter your **DataFrame** to select all the velocities that fall between the median and mean using the 'and' conditional syntax. \n",
    "    - Check your work: find the maximum and minimum velocities in the filtered data frame. Print the maximum and minimum values and compare them to the median and mean.\n",
    "\n",
    "2.  Functions\n",
    "\n",
    "    - write a  function that takes latitudes (in degrees) and converts them to colatitudes (in radians)\n",
    "    - write a  function, that takes two longitudes and returns the difference \n",
    "    - re-write the function **great_circle( )** that calls the two other functions and returns the  separation in degrees.  (**Hint:** remember that **NumPy** assumes that the units are in radians)\n",
    "\n",
    "3.  Great circles\n",
    "    - Use your new function to find the angular difference between where you were born and Pinyon Flat (**PF_lat = 33.3,PF_lon = -115.7**).\n",
    "    - There are roughly 111 km in one degree, how many kilometers is the distance between your birthplace and Pinyon Flat?  Print the distance\n",
    "\n",
    "4.  Formatting strings\n",
    "    - set a variable, pi,  to the value of **np.pi**\n",
    "    - print the value of pi\n",
    "    - format the value to have four significant digits.  \n",
    "    - print out a sentence with the formatted value of $\\pi$ in it.  \n",
    "    - multiply $\\pi$ by 50 and use the exponential form of string formatting to print out 4 significant digits."
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