Question

The weights (in pounds) of 30 newborn babies are listed below. find q1. 5.5 5.7 5.8 6.0 6.1 6.1 6.3 6.4 6.5 6.6 6.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.2 7.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7

Answer 1

From the given data we shall obtain the following boxplot, which we can generate the information given:

5.5, 5.7, 5.8, 6.0, 6.1, 6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 6.7, 6.7, 6.9, 7.0, 7.0, 7.0, 7.1, 7.2, 7.2, 7.4, 7.5, 7.7, 7.7, 7.8, 8.0, 8.1, 8.1, 8.3, 8.7

1st Qu=6.425
3rd Qu=7.650

Answer 2

Answer:

$Q_1=6.4\text{ pounds}$    

Step-by-step explanation:

We have been given weights (in pounds) of 30 newborn babies and we are asked to find the first quartile of our given data.

Our data set is: 5.5, 5.7, 5.8, 6.0, 6.1, 6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 6.7, 6.7, 6.9, 7.0, 7.0, 7.0, 7.1, 7.2, 7.2, 7.4, 7.5. 7.7, 7.7, 7.8, 8.0, 8.1, 8.1, 8.3, 8.7

Since we know that 1st quartile is the median of the data set to the left of the median.

We can see that  our data set is in ascending order and our data set has 30 data points. So, 1st quartile will be the median of first 15 data points.

Since 15 is an odd number, so middle value will be the value of 8th data point.

$\text{ 1st quartile of weights of newborn babies}=\text{ Value of 8th data point}$

$\text{ 1st quartile of weights of newborn babies}=6.4$

Therefore, 1st or lower quartile of our given data set is 6.4 pounds.