Answer:
a. Marks = 10, 13, 14, 16, 18, 18
b. mode = 18
c. Range = 8
Step-by-step explanation:
==>Given the following data set arranged in ascending order:
10, 13, 3x-1, 3x+1, 18, 18
Median = 15
==>Required:
a. Marks:
To get each marks, let's find the value of x since we know median to be 15.
10, 13, [3x-1, 3x+1], 18, 18
Our median in this even number of data set would be the average of the 2 middle values which would give us 15.
Thus, we have:
[(3x-1) + (3x+1)] ÷ 2 = 15
[3x-1 + 3x+1] ÷ 2 = 15
[3x+3x-1+1] ÷ 2 = 15
6x/2 = 15
Multiply 2 by both sides
6x = 30
Divide 6 by both sides
x = 5
Now let's plug in the value of x to get out marks:
10, 13, 3(5)-1, 3(5)+1, 18, 18
10, 13, 14, 16, 18, 18
b. Mode is the most appeared data value, which is 18
c. Range is the difference between the highest and lowest value = 18 - 10 = 8
