remolatg

2020-11-06

Find the median and quartiles for the data.

SoosteethicU

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 $\mathrm{}150$
First quartile ${Q}_{1}$
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 ${2}^{nd}$ observation and ${3}^{rd}$ observation.
Here the ${2}^{nd}$ observation is 120 and ${3}^{rd}$ observation is 130.
${Q}_{1}=\frac{120+130}{2}$
$=\frac{250}{2}=125$
Thus, the first quartile
Third quartile ${Q}_{3}$
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  observations.
Here the ${7}^{th}$ observation is 150 and ${8}^{th}$ observation is 160.
${Q}_{3}=\frac{150+160}{2}$
$=\frac{310}{2}=155$
Thus, the third quartile .

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