diff --git a/analytics/classes/local/time_splitting/accumulative_parts.php b/analytics/classes/local/time_splitting/accumulative_parts.php
index f1b06b37cd6..45fd2a876e2 100644
--- a/analytics/classes/local/time_splitting/accumulative_parts.php
+++ b/analytics/classes/local/time_splitting/accumulative_parts.php
@@ -51,11 +51,11 @@ abstract class accumulative_parts extends base {
 
         $nparts = $this->get_number_parts();
 
-        $rangeduration = intval(floor(($this->analysable->get_end() - $this->analysable->get_start()) / $nparts));
+        $rangeduration = ($this->analysable->get_end() - $this->analysable->get_start()) / $nparts;
 
         $ranges = array();
         for ($i = 0; $i < $nparts; $i++) {
-            $end = $this->analysable->get_start() + ($rangeduration * ($i + 1));
+            $end = $this->analysable->get_start() + intval($rangeduration * ($i + 1));
             if ($i === ($nparts - 1)) {
                 // Better to use the end for the last one as we are using floor above.
                 $end = $this->analysable->get_end();
diff --git a/analytics/classes/local/time_splitting/equal_parts.php b/analytics/classes/local/time_splitting/equal_parts.php
index 14e88346d95..7d4885813e2 100644
--- a/analytics/classes/local/time_splitting/equal_parts.php
+++ b/analytics/classes/local/time_splitting/equal_parts.php
@@ -51,15 +51,23 @@ abstract class equal_parts extends base {
 
         $nparts = $this->get_number_parts();
 
-        $rangeduration = intval(floor(($this->analysable->get_end() - $this->analysable->get_start()) / $nparts));
+        $rangeduration = ($this->analysable->get_end() - $this->analysable->get_start()) / $nparts;
+
+        if ($rangeduration < $nparts) {
+            // It is interesting to avoid having a single timestamp belonging to multiple time ranges
+            // because of things like community of inquiry indicators, where activities have a due date
+            // that, ideally, would fall only into 1 time range. If the analysable duration is very short
+            // it is because the model doesn't contain indicators that depend so heavily on time and therefore
+            // we don't need to worry about timestamps being present in multiple time ranges.
+            $allowmultipleranges = true;
+        }
 
         $ranges = array();
         for ($i = 0; $i < $nparts; $i++) {
-            $start = $this->analysable->get_start() + ($rangeduration * $i);
-            $end = $this->analysable->get_start() + ($rangeduration * ($i + 1));
+            $start = $this->analysable->get_start() + intval($rangeduration * $i);
+            $end = $this->analysable->get_start() + intval($rangeduration * ($i + 1));
 
-            // Check the end of the previous time range.
-            if ($i > 0 && $start === $ranges[$i - 1]['end']) {
+            if (empty($allowmultipleranges) && $i > 0 && $start === $ranges[$i - 1]['end']) {
                 // We add 1 second so each timestamp only belongs to 1 range.
                 $start = $start + 1;
             }
diff --git a/analytics/classes/site.php b/analytics/classes/site.php
index 8e9a634d078..d616d4bce04 100644
--- a/analytics/classes/site.php
+++ b/analytics/classes/site.php
@@ -83,7 +83,7 @@ class site implements \core_analytics\analysable {
         if ($events) {
             // There should be just 1 event.
             $event = reset($events);
-            $this->start = $event->timecreated;
+            $this->start = intval($event->timecreated);
         } else {
             $this->start = 0;
         }
@@ -111,7 +111,7 @@ class site implements \core_analytics\analysable {
         if ($events) {
             // There should be just 1 event.
             $event = reset($events);
-            $this->end = $event->timecreated;
+            $this->end = intval($event->timecreated);
         } else {
             $this->end = time();
         }