Question

Match the values with the statistical measures for these data points. 20, 20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26 Tiles 22.5 25 23.5 21.5 23 Pairs upper quartile lower quartile median

Answer 1

Answer:

20,20,21,22,23,23,24,24,25,25,26,26

Step-by-step explanation:

median (middle number) is (23 + 24) / 2 = 47/2 = 23.5 <== median

Q1 = (21 + 22) / 2 = 43/2 = 21.5 <== lower quartile

Q3 = (25 + 25) / 2 = 50/2 = 25 <== upper quartile

Answer 2

The median, lower quartile, and the upper quartile are $23.5, 21.5\text{ and }25$ respectively such that the statistical measures for these data points, $20, 20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26$.

Median

Median is given as- $M=\dfrac{\text{Sum of middle two terms}}{2}$

How to determine the median, lower quartile, and upper quartile?

The given statistical measures are already in the ascending series-

Lower Half is $20, 20, 21, 22, 23, 23$

Upper Half is $24, 24, 25, 25, 26, 26$

Median is-

$M=\dfrac{23+24}{2}\\=23.5$

Lower Quartile is-

$Q_L=\dfrac{21+22}{2}\\=21.5$

Upper Quartile is-

$Q_U=\dfrac{25+25}{2}\\=25$

Thus, the median, lower quartile, and the upper quartile are $23.5, 21.5\text{ and }25$ respectively.

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