Answer:
lower quartile: 18; median: 27; upper quartile: 38
Step-by-step explanation:
The given set of data is
27, 14, 46, 38, 32, 18, 21
Arrange this set of data in numeric order
14,18,21,27,32,38,46
The given set of data has 7 numbers which is odd.
Median in the middle value. The middle value of the data is fourth value which is 27.
Hence, median = 27
Now, the first half of the set of data is
14,18,21
Middle value = 18
Hence, lower quartile = 18
The second half is 32,38,46
Middle value = 38
Hence, uper quartile = 38
Thus, the correct option is
lower quartile: 18; median: 27; upper quartile: 38
