Using the Mean and median formulae ,
The difference between the mean and median score of the students' scores on this quiz is 3.
Mean : The mean is the number which we get by dividing the sum of a set of values by the number of values in the set.
Median: the median is the middle number in a set of values when those values are arranged in either ascending or descending order.
let us consider there are a total 100 students.
and X denotes the marks obtained by students.
We have given that,
10% of student scored 70 points i.e.,
P(X=70) = 10% of 100 = 10
35% of students scored 80 points i.e., number of students whose obtained 80 points
= 35% of 100 = 35
30% of students scored 90 points , number of students whose obtained 90 points
= 30% of 100 = 30
remained ( 25%) of students scored 100 points
= 100 - 10 - 35 - 30 = 25
total marks obtained by students
= 80+70+90+100
= 340
Mean of score of students'scores on the quiz
= (70×10+ 80×35 + 90×30 + 100×25)/100 = 87
when we arranged the in ascending students in order , the 50th and 51th student lies in middle and marks obtained by both (50th and 51th) is 90 points .
So, Median score of the students' scores on this quiz = 90
Now, we shall calculate the difference between mean and median of score of the students' scores on this quiz which is equal to( 90 -87)
= 3
Hence, difference between the mean and median score of the students' scores on this quiz = 3
To learn more about Mean and median, refer:
https://brainly.com/question/14532771
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