Find the median and quartiles for the data.

remolatg

remolatg

Answered question

2020-11-06

Find the median and quartiles for the data.

Answer & Explanation

SoosteethicU

SoosteethicU

Skilled2020-11-07Added 102 answers

Calculation: 
Median: 
- The median is the middle value of the data when the number of entries in the data set is odd.
- The median is the mean of the middle values in the data set if the number of items in the data set is even.
Arrange the data in ascending order. 
120, 120, 130, 140, 150, 150, 150, 160, 180 
Here, there are nine observations, an odd number. Consequently, the median is 150, which represents the data's middle value.
Thus, the median cost of compact refrigerators is $150
First quartile Q1
First quartile refers to the median of the data values to the left of the overall median.
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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