the following data points represent the number of attendees at each of the dance events hosted by cloy…
the following data points represent the number of attendees at each of the dance events hosted by cloy events. answer 2 questions about the data set. 1. sort the data from least to greatest. 32 34 35 35 39 40 44 47 2. find the interquartile range (iqr) of the data set. attendees
Answer
Answer:
9
Explanation:
Step1: Find median
The data set has 8 values. The median is the average of the 4th and 5th - ordered values. $\frac{35 + 39}{2}=37$.
Step2: Split data into two - halves
Lower half: 32, 34, 35, 35. Upper half: 40, 44, 47.
Step3: Find Q1 and Q3
For the lower half (4 values), Q1 is the average of the 2nd and 3rd values. $\frac{34+35}{2}=34.5$. For the upper half (4 values), Q3 is the average of the 2nd and 3rd values. $\frac{44 + 47}{2}=45.5$.
Step4: Calculate IQR
$IQR=Q3 - Q1=45.5-34.5 = 9$.