Find the median and quartiles for the data.

remolatg 2020-11-06 Answered
Find the median and quartiles for the data.
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SoosteethicU
Answered 2020-11-07 Author has 102 answers
Calculation:
Median:
- If the data set consists of odd number of entries then the median is the middle value of the data.
- If the data set consists of even number of entries then the median is the mean of the middle vales in the data set.
Arrange the data in ascending order.
120, 120, 130, 140, 150, 150, 150, 160, 180
Here the number of observations is 9 which is an odd number. Therefore the median is the center value of the data that is, 150
Thus, the median cost of compact refrigerators is $150.
First quartile Q1:
The median of the data values that are to the left of the overall median is termed as first quartile.
Here the number of observation below median is 4 which is an even number.
The middle values represent 2nd observation and 3rd observation.
Here the 2nd observation is 120 and 3rd observation is 130.
Q1=120+1302
=2502=125
Thus, the first quartile Q1, is $125.
Third quartile Q3:
The median of the data entries that are to the right of the overall median is termed as third quartile
Here the number of observation above median is 4 which is an even number.
The middle values represent 7th and 8th observations.
Here the 7th observation is 150 and 8th observation is 160.
Q3=150+1602
=3102=155
Thus, the third quartile Q3, is $155.
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