Question

Which statement is true about the distribution?

Answer 1

Answer with explanation:

Lowest Variate in distribution =10

Largest Variate in distribution =45

Range =Maximum Variate - Minimum Variate

       = 45 -10

       =35

→First Quartile

          $Q_{1}=15$

→Median =Q= 25

→Third Quartile

         $Q_{3}=40$

IQR=Inter Quartile Range

   $=Q_{3}-Q_{1}\\\\=40-15\\\\=25$

To calculate Outliers

$\rightarrow Q_{3} + 1.5\times IQR=40 +1.5 \times 25\\\\=40 +3.75\\\\=43.75\\\\\rightarrow Q_{1} - 1.5\times IQR\\\\=15 - 1.5 \times 25\\\\=15 - 3.75\\\\=11.25$

→Numbers below, 11.25 and numbers above 43.75 are outliers.

So, both , 10 and 45 , are outliers.

Therefore, range is not good measure of variability.

→→I QR , is better measure of Variability.

But , Option A,⇒ Either the IQR or the range are good measures of variability because the distribution has an outlier.

Answer 2

Answer:

it would be C. Either the IQR or the range are good measures of variability because the distribution has no outliers

Step-by-step explanation: