Question

what is the mid value of the distance between the third and the first quartile?​

Answer 1

Answer:

The interquartile range (also called the midspread or middle fifty), is the distance between the third and first quartiles and is considered a more stable statistic than the "range" of the set. The IQR contains 50% of the data. For the example shown above, the IQR = 51 - 26½ = 24½.

Answer 2

The inter-quartile range or the mid quartile/value range denotes the mid value of the distance the first and the third quartile.

Explanation:

The first quartile represents the median or the mid value between the smallest observation and the median of the data set.The third quartile denotes the mid value or the median value between the median of the data set and the largest observation of the set.Now, the interquartile or the mid quartile range is 50% or half of the sum of the first and the third quartile.