Respuesta :
Answer:
d. The median and the IQR
Step-by-step explanation:
The median separates the upper half from the lower half of a set. So 50% of the values in a data set lie at or below the median, and 50% lie at or above the median. This means that the median is the appropriate numerical measure to describe the center.
The first quartile(Q1) separates the lower 25% from the upper 75% of a set. So 25% of the values in a data set lie at or below the first quartile, and 75% of the values in a data set lie at or above the first quartile.
The third quartile(Q3) separates the lower 75% from the upper 25% of a set. So 75% of the values in a data set lie at or below the third quartile, and 25% of the values in a data set lie at or the third quartile.
The quartiles are used to measure the spread of a data-set.
The interquartile range(IQR), is Q3-Q1.
So the correct answer is:
d. The median and the IQR
Appropriate numerical measures of centre and spread of the distribution are : D) Median and IQR respectively.
Median is the positional average showing the mid point of a data. Median divides the data into two equal halves, both containing 50% of the data.
Quartiles are also a positional measure, dividing the data into 4 equal quarters, Q1 & Q3 covering 25% & 75% of the data respectively.
Interquartile Range shows the difference between Quartile 1 & Quartile 3. It is a measure of dispersion of data, denoting the spread & distribution of data.
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