To find the IQR:
1. Put the data in order from least to greatest:
111, 121, 126, 141, 198, 223, 224, 238, 263, 292, 327, 330
2. Find the median (middle value) of the data. If there are an even number of data points, find the average of the two middle values.
Median = (223 + 224) / 2 = 223.5
3. Find the median of the lower half of the data. This is also known as the first quartile (Q1).
Q1 = 126
4. Find the median of the upper half of the data. This is also known as the third quartile (Q3).
Q3 = 327
5. Subtract Q1 from Q3 to find the interquartile range (IQR).
IQR = Q3 - Q1 = 327 - 126 = 201
Therefore, the IQR of the data points is 201.
find the IQR of the data points
111,121,126,141,198,223,224,238,263,292,327,330
3 answers
i think it is 167
We can find the IQR of the data points by following these steps:
1. Order the data points from least to greatest:
111, 121, 126, 141, 198, 223, 224, 238, 263, 292, 327, 330
2. Find the median of the whole data set. Since there are 12 data points, the median is the middle value, which is:
median = (223 + 224) / 2 = 223.5
3. Divide the data set into two halves: the lower half and the upper half. If the median is included in either half, it is not counted again.
Lower half: 111, 121, 126, 141, 198, 223
Upper half: 238, 263, 292, 327, 330
4. Find the median of the lower half, Q1:
Q1 = (126 + 141) / 2 = 133.5
5. Find the median of the upper half, Q3:
Q3 = (292 + 327) / 2 = 309.5
6. Calculate the IQR as the difference between Q3 and Q1:
IQR = Q3 - Q1 = 309.5 - 133.5 = 176
Therefore, the IQR of the data points is 176, not 167.
1. Order the data points from least to greatest:
111, 121, 126, 141, 198, 223, 224, 238, 263, 292, 327, 330
2. Find the median of the whole data set. Since there are 12 data points, the median is the middle value, which is:
median = (223 + 224) / 2 = 223.5
3. Divide the data set into two halves: the lower half and the upper half. If the median is included in either half, it is not counted again.
Lower half: 111, 121, 126, 141, 198, 223
Upper half: 238, 263, 292, 327, 330
4. Find the median of the lower half, Q1:
Q1 = (126 + 141) / 2 = 133.5
5. Find the median of the upper half, Q3:
Q3 = (292 + 327) / 2 = 309.5
6. Calculate the IQR as the difference between Q3 and Q1:
IQR = Q3 - Q1 = 309.5 - 133.5 = 176
Therefore, the IQR of the data points is 176, not 167.