Primeira página
/
Matemática
/
lower-quartile upper-quartile and inter-quartile range of the following Find discrete data. 0 1 14 6

Pergunta

lower-quartile upper-quartile and inter-quartile range of the following
Find discrete data.
0
1
14
6

lower-quartile upper-quartile and inter-quartile range of the following Find discrete data. 0 1 14 6

Solução

expert verifiedVerification of experts
4.7238 Voting
avatar
PauloMestre · Tutor por 5 anos

Responder

To find the lower quartile, upper quartile, and interquartile range of the given discrete data, we first need to arrange the data in ascending order:<br /><br />0, 1, 6, 14<br /><br />The lower quartile (Q1) is the median of the lower half of the data. Since there are 4 data points, the lower half consists of the first 2 data points. The median of these 2 points is the average of 0 and 1, which is 0.5.<br /><br />The upper quartile (Q3) is the median of the upper half of the data. The upper half consists of the last 2 data points. The median of these 2 points is the average of 6 and 14, which is 10.<br /><br />The interquartile range (IQR) is the difference between the upper quartile and the lower quartile. In this case, IQR = Q3 - Q1 = 10 - 0.5 = 9.5.<br /><br />Therefore, the lower quartile is 0.5, the upper quartile is 10, and the interquartile range is 9.5.
Clique para avaliar: