diff --git a/notes/sections/1.md b/notes/sections/1.md
index ae54584..b00312f 100644
--- a/notes/sections/1.md
+++ b/notes/sections/1.md
@@ -229,7 +229,7 @@ $$
 $$
 while the sample median, obtained again by bootstrapping, was found to be:
 $$
-  \text{observed median: } m_e = \num{1.3605 \pm 0.0062}
+  \text{observed median: } m_o = \num{1.3605 \pm 0.0062}
 $$
 As stated above, the median is less sensitive to extreme values with respect to
 the mode: this lead the result to be much more precise. Applying again the
@@ -252,8 +252,7 @@ $$
   f_{\text{max}} = f(m_e) \et \text{FWHM} = x_+ - x_- \with
   f(x_\pm) = \frac{f_\text{max}}{2}
 $$
-The function derivative $f'(x)$ was minimized using the same minimization method
-used for finding $m_e$. Once $f_\text{max}$ was known, the equation:
+Having already estimated the mode, $f_\text{max}$ was known and the equation:
 $$
   f(x) = \frac{f_\text{max}}{2}
 $$