Question
The given dot plot shows the number of vacations taken by the sixth grade students at Walker junior high what is the interquartile range of the data shown?
Answers
GPT 3.5
To find the interquartile range (IQR) of the data shown in the dot plot, we first need to find the first and third quartiles.
The first quartile (Q1) is the median of the lower half of the data, and the third quartile (Q3) is the median of the upper half of the data.
In the given dot plot, we can see that the data points are distributed as follows:
4, 5, 6, 6, 7, 7, 7, 8, 9, 9, 10
First, we need to find the median of the entire data set, which is 7.
Next, we split the data into two halves:
Lower half: 4, 5, 6, 6, 7
Upper half: 7, 7, 8, 9, 9, 10
Now we find the medians of both the lower and upper halves:
Lower half median: (6 + 6) / 2 = 6
Upper half median: (8 + 9) / 2 = 8.5
Therefore, Q1 = 6 and Q3 = 8.5.
Finally, we can calculate the interquartile range (IQR) by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 8.5 - 6 = 2.5
So, the interquartile range of the data shown in the dot plot is 2.5.
The first quartile (Q1) is the median of the lower half of the data, and the third quartile (Q3) is the median of the upper half of the data.
In the given dot plot, we can see that the data points are distributed as follows:
4, 5, 6, 6, 7, 7, 7, 8, 9, 9, 10
First, we need to find the median of the entire data set, which is 7.
Next, we split the data into two halves:
Lower half: 4, 5, 6, 6, 7
Upper half: 7, 7, 8, 9, 9, 10
Now we find the medians of both the lower and upper halves:
Lower half median: (6 + 6) / 2 = 6
Upper half median: (8 + 9) / 2 = 8.5
Therefore, Q1 = 6 and Q3 = 8.5.
Finally, we can calculate the interquartile range (IQR) by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 8.5 - 6 = 2.5
So, the interquartile range of the data shown in the dot plot is 2.5.