SOLUTION: 15 of 31 measurements are below 10 cm and 12 measurements are above 11 cm. Find the median if the other 4 measurements are 10.1 cm. 10.4 cm, 10.7 cm and 10.9 cm. Please explain how

Algebra ->  Probability-and-statistics -> SOLUTION: 15 of 31 measurements are below 10 cm and 12 measurements are above 11 cm. Find the median if the other 4 measurements are 10.1 cm. 10.4 cm, 10.7 cm and 10.9 cm. Please explain how      Log On


   

Question 1189143: 15 of 31 measurements are below 10 cm and 12 measurements are above 11 cm. Find the median if the other 4 measurements are 10.1 cm. 10.4 cm, 10.7 cm and 10.9 cm. Please explain how to solve.
Answer by MathLover1(20849) About Me  (Show Source):
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1) median position: %2831%2B1%29%2F2+=+16
15 are below 10, so 16th would be the first one to be greater than/equal to 10 which is 10.1
2) median+=+12 of 9 values
So 5th value is 12
7%2C9%2C11%2C12%2C13%2C14%2C17%2C19 are the other +8 values
To find the last measurement, use+mean+=+12
Sum+=+12%2A9+=+108
7%2B9%2B11%2B12%2B13%2B14%2B17%2B19%2Bx+=+108
102+%2B+x+=+108
x+=+6
Answer:
1) 10.1
2) 6+and 12