what number of students describes the third quartile? 20, 18, 21, 18, 22, 24, 18, 23, 23, 24,

Answer: To find the third quartile (Q3) among a set of numbers, you follow these steps:

1. Order the data from least to greatest. 2. Find the median (the middle value) of the data set. 3. Split the data into two halves: lower half and upper half. (If the median is not part of the data set after it's been ordered, then each half will have the same number of data points.) 4. Find the median of the upper half of the data. This value is your third quartile (Q3).

Let's follow these steps for the provided data set:

Data set in order: 18, 18, 18, 20, 21, 22, 23, 23, 24, 24

1. Since there is an even number of data points (10 scores), the median will be the average of the middle two numbers. In this case, the median is between the fifth and sixth scores:

Median = (21 + 22) / 2 Median = 43 / 2 Median = 21.5

2. Now, divide the set into lower and upper halves:

Lower half (not including the median): 18, 18, 18, 20, 21 Upper half (not including the median): 22, 23, 23, 24, 24

3. Find the median of the upper half to determine Q3:

For the upper half: The median value is simply the middle value since there are five numbers in the upper set.

Third quartile (Q3) = 23

Therefore, the third quartile (Q3) that describes the number of students is 23.