Which best represents the center of the data set below?
Mean, median, range, mode
Solution:
We know that
Mean: The arithmetic mean of a given data is the sum of all observations divided by the number of observations.
Median: The value of the middlemost observation, obtained after arranging the data in ascending order, is called the median of the data.
Range: The range is the difference between the highest value and the lowest value of the data.
Mode: The value which appears most often in the given data i.e. the observation with the highest frequency is called a mode of data.
The figure given represents the box plot for the average monthly grocery bill.
From the given options we have to choose the values that best represent the center of the given data set.
As the given data shows the box plot for the average monthly grocery bill, it shows the minimum, first quartile, median, third quartile, and the maximum of the given data.
Given the data set: 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440
The following six values are shown in the box plot.
Minimum value = 220 and the maximum value = 440
Median = 330
First Quartile: Q1 --> 270
Second Quartile: Q2 --> 330
Third Quartile: Q3 --> 390
The single line in the box plot shows the median of the data which is the center of the given data set.
Therefore, the center of the given data set represents the median of the data.
Which best represents the center of the data set below?
Solution:
The center of the data set represents the median of the data.