Question

two sets of data are shown in the table

data set a 4 5 6 7 7 8 8 10 12

data set b 5 6 7 8 9 10 11 12 15

calculate the median for each data set.

for data set a, the median is 7.444.
for data set b, the median is 9.222.

for data set a, the median is 7.
for data set b, the median is 9.

for data set a, the median is 9.222.
for data set b, the median is 7.444.

for data set a, the median is 9.
for data set b, the median is 7.

Explanation:

Step1: Find median of Data Set A

Data Set A: \( 4, 5, 6, 7, 7, 8, 8, 10, 12 \) (already ordered). Number of data points \( n = 9 \) (odd). The median is the middle value, at position \( \frac{n + 1}{2}=\frac{9+1}{2}=5 \)-th term. The 5th term is \( 7 \).

Step2: Find median of Data Set B

Data Set B: \( 5, 6, 7, 8, 9, 10, 11, 12, 15 \) (already ordered). Number of data points \( n = 9 \) (odd). The median is the middle value, at position \( \frac{n + 1}{2}=\frac{9+1}{2}=5 \)-th term. The 5th term is \( 9 \).

Answer:

For data set A, the median is 7.
For data set B, the median is 9.