Test Questions on Mean and Median.

Question1:

Find the median of : 83, 37, 70, 29, 45, 63, 41, 70, 30, 54

Answer: 29, 30, 37, 41, 45, 54, 63, 70, 70, 83
Median = Middle-most score

Median = 49.5

Question 2

Question: The median of prime numbers between 51 and 80.

Answer: 53, 59, 61, 67, 71, 73, 79
Median = Middle-most score
Median = 67

Question 3

Question: The median of the first ten prime numbers.

Answer: The first 10 prime numbers ={2, 3, 5, 7, 11, 13, 17, 19, 23, 29}

Mean = 12.9

Median = 12

Question 4

Question: The following is in ascending order: 12, 14, 17, 20, 22, x, 26, 28, 32, 36

i) If the median of the data is 23, find x.

ii) In the above data, if 32 is changed to 23, find the new median.

Answer: 12, 14, 17, 20, 22, x, 26, 28, 32, 36
i) Median = 23

46 = 22+x
x = 24

ii) Replacing 32 by 23.
12, 14, 17, 20, 22, 23, 24, 26, 28, 36

Median = 22.5