Respuesta :
Range in a distribution is the difference between the smallest and the largest value in a distribution. Interquartile range is the difference between the upper quartile and the lower quartile in a distribution.
In an ungrouped data , the first step is to arrange the values in ascending order;
40,41,41,42,43,43,44,44,45,45
The lower quartile is 41 while the upper quartile is 44
Thus the interquartile range is 3 (44-41)
In an ungrouped data , the first step is to arrange the values in ascending order;
40,41,41,42,43,43,44,44,45,45
The lower quartile is 41 while the upper quartile is 44
Thus the interquartile range is 3 (44-41)
Answer:
The interquartile range of the data is 3.
Step-by-step explanation:
Here, the given data is,
40, 42, 41, 41, 43, 43, 44, 45, 44, 45,
Step 1 : The ascending order of the data,
40, 41, 41, 42, 43, 43, 44, 44, 45, 45,
Step 2 : Median of the data,
40, 41, 41, 42, 43, 43, 44, 44, 45, 45
Step 3 : Make a mark in the center of the data,
40, 41, 41, 42, 43, | 43, 44, 44, 45, 45
Step 4 : Make lower half and upper half of the data,
(40, 41, 41, 42, 43) | (43, 44, 44, 45, 45)
Step 5 : Median of lower half,
[tex]Q_1[/tex] = 41,
Median of upper half,
[tex]Q_3[/tex] = 44
Step 6 : Thus, the interquartile range of the data = [tex]Q_3-Q_1[/tex]
= 44 - 41
= 3
