deletions | additions       diff --git a/I_was_given_data_that__.tex b/I_was_given_data_that__.tex  index 02fd5d1..ef2886f 100644  --- a/I_was_given_data_that__.tex  +++ b/I_was_given_data_that__.tex 
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I was given data that was used from studying many spiral galaxies and consisted of the mass of all types a distribution  of stars stellar mass  and the percentage of how many of that type of star is found in spiral galaxies. For example, the most common type of star found in spiral galaxies is around 0.5 solar mass.'  In order to find out the percentage of mass and luminosity, we I  had to use the percentage of type of stars stellar mass  to completely understand the population distribution. Below is a graph of The figure 'Most Common Luminosities" shows  the most common luminosities of spiral galaxies. Because the mass of the galaxy never changes with age, I did not include a graph of that. As you can see from the below figure, the stars that contribute the most luminosity are the most massive stars. This is important because the most massive stars leave the main sequence first and their luminosity will Unlike what we observe with galaxies today, there are  no longer giant stars, which  contribute to most of  thetotal  luminosity of the galaxy. a galaxy, so our mass/luminosity ratio won't be believable.