Find the interquartile range (IQR) of the data in the dot plot below. luis lacrosse scoring each season pls helpppppppppppppppp
1 answer:
Answer:
3.5
Step-by-step Explanation:
To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:
==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.
Thus, we would have:
43 (1 dot)
44, 44, 44 (3 dots)
45, 45(2 dots)
47 (1 dot)
48, 48 (2 dots)
Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48
==>Step 2: Find the median
Our median value is the middle value of our data set. Thus:
43, 44, 44, 44, | 45, | 45, 47, 48, 48
Our median would be 45.
==>Step 3: Find the upper and lower median (Q3 & Q1):
Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.
Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:
43, (44, 44,) 44, | 45, | 45, (47, 48,) 48
Upper median (Q3) = (47+48) ÷ 2 = 47.5
Lower median (Q1) = (44+44) ÷ 2 = 44
==>Step 4: Subtract the lower median from the upper median to get the IQR.
IQR = Upper median (Q3) - Lower median (Q1)
IQR = 47.5 - 44
IQR = 3.5
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