Question

find the IQR of the data points
111,121,126,141,198,223,224,238,263,292,327,330

Answer 1

i think it is 167

Answer 2

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.

Answer 3

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.