diff --git a/mod/quiz/report/statistics/tests/behat/random_essays.feature b/mod/quiz/report/statistics/tests/behat/random_essays.feature
new file mode 100644
index 00000000000..1cc460cee6b
--- /dev/null
+++ b/mod/quiz/report/statistics/tests/behat/random_essays.feature
@@ -0,0 +1,38 @@
+@mod @mod_quiz @quiz @quiz_statistics
+Feature: Robustness of the statistics calculations with random essays
+  In order not to see errors
+  As a teacher
+  I need the statistics to work even if the quiz uses a random selection of essays
+
+  Scenario: Statistics can be calculated even after a question type has been uninstalled
+    Given the following "users" exist:
+      | username |
+      | teacher  |
+      | student  |
+    And the following "courses" exist:
+      | fullname | shortname |
+      | Course 1 | C1        |
+    And the following "course enrolments" exist:
+      | user    | course | role           |
+      | teacher | C1     | editingteacher |
+      | student | C1     | student        |
+    And the following "question categories" exist:
+      | contextlevel | reference | name           |
+      | Course       | C1        | Test questions |
+    And the following "questions" exist:
+      | questioncategory | qtype  | template                | name                    | questiontext |
+      | Test questions   | essay  | plain                   | Test question 1         |              |
+      | Test questions   | essay  | plain                   | Test question 2         |              |
+      | Test questions   | random |                         | Random (Test questions) | 0            |
+    And the following "activities" exist:
+      | activity   | name   | course | idnumber |
+      | quiz       | Quiz 1 | C1     | quiz1    |
+    And quiz "Quiz 1" contains the following questions:
+      | question                | page |
+      | Random (Test questions) | 1    |
+    And user "student" has attempted "Quiz 1" with responses:
+      | slot | response                   |
+      |   1  | Here is my wonderful essay |
+
+    When I am on the "Quiz 1" "mod_quiz > Statistics report" page logged in as teacher
+    Then I should see "No attempts have been made at this quiz, or all attempts have questions that need manual grading."