Question

Calculate the lower quartile of the data set for the blood glucose levels of 10 individuals whose blood glucose readings were as follows: 88, 97, 101, 104, 104, 107, 109, 117, 121, and 147

Answer 1

To find the lower quartile of a data set, sort the data in ascending order and find the median of the lower half.

Step-by-step explanation:

To calculate the lower quartile of a data set, you need to find the median of the lower half of the data. In this case, we have 10 blood glucose readings. To find the lower quartile:

First, sort the data in ascending order: 88, 97, 101, 104, 104, 107, 109, 117, 121, 147.

Since we have an even number of values (10), the lower half has 10/2 = 5 values.

The median of the lower half of the data is the average of the two middle values: 104 and 104. So, the lower quartile is 104.

Answer 2

The correct answer is 101.

Step-by-step explanation:

Lower quartile is defined as the mid value of the first half of the data set when the data set is arranged in ascending order. Lower quartile in other words separates the lowest 25% from the highest 75% of the data.

The lower quartile of the data set for the blood glucose levels of 10 individuals is given by the mid value of the first five terms 88, 97, 101, 104 and 104.

Thus the mid value of this first half
`(5+1)/(2) th` term is 101. Thus the lower quartile of the data set is 101.