Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
Minimum 80
Quartile 1 (Q) 215
Median 335
Quartile 3 (Q3) 380
Maximum 440
Population IQR
IQR = Q3 - Q1 = 380 - 215 = 165
A.)
Dot at 240
The dot plot shows the sample distribution of interquartile range, hence, all the points on the plot represents the interquartile range for 50 different samples.
Hence, the dot at 240 represent the interquartile range value of one of the 50 sample distributions.
B.)
According to the sampling distribution chart, the graph form a bell shaped curve and loos fairly symmetric, hence we could conclude thatvthe mean IQR of the sampling distribution is about 165.
Since population IQR is also 165 ; we can conclude that sampling distribution OF IQR is an unbiased estimator of population IQR.
