The scores

The scores of 10 learners in a test arranged in ascending order is 12, 13, 13, a, (a + 3), (52 - 2a), (2a - 8), 23, 23 and 24. If the median mark is 20, find (a) value of a. (b) mean

Correct answer:

a =  15
μ =  18.5

Step-by-step explanation:

n=10 m=20  m=2a5+a6  m=2(a+3)+(522a)  2 m=(a+3)+(522a) 2 20=(a+3)+(522a)  2 20=(a+3)+(522 a)  a=15  a=115=15  a=15
a5=a+3=15+3=18 a6=522 a=522 15=22 a7=2 a8=2 158=22  s=12+13+13+a+a5+a6+a7+23+23+24=12+13+13+15+18+22+22+23+23+24=185  μ=ns=10185=237=1821=18.5

Did you find an error or inaccuracy? Feel free to write us. Thank you!

Tips for related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Need help calculating sum, simplifying, or multiplying fractions? Try our fraction calculator.
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: