The monthly telephone usage (in minutes) of 30 adults is listed below. Find the interquartile range for the telephone usage of the 30 adults.
Start 3 By 10 Matrix 1st Row 1st Column 154 2nd Column 156 3rd Column 165 4st Column 165 5st Column 170 6st Column 171 7st Column 172 8st Column 180 9st Column 184 10st Column 185 2nd Row 1st Column 189 2nd Column 189 3rd Column 190 4st Column 192 5st Column 195 6st Column 198 7st Column 198 8st Column 200 9st Column 200 10st Column 200 3rd Row 1st Column 205 2nd Column 205 3rd Column 211 4st Column 215 5st Column 220 6st Column 220 7st Column 225 8st Column 238 9st Column 255 10st Column 265 EndMatrix
To find the interquartile range for the telephone usage of the 30 adults, we need to first find the first quartile (Q1) and the third quartile (Q3).
Step 1: Arrange the numbers in ascending order.
154, 156, 165, 165, 170, 171, 172, 180, 184, 185, 189, 189, 190, 192, 195, 198, 198, 200, 200, 200, 205, 205, 211, 215, 220, 220, 225, 238, 255, 265
Step 2: Find Q1, which is the median of the lower half of the data set.
Lower half: 154, 156, 165, 165, 170, 171, 172, 180, 184, 185, 189, 189, 190
Q1 = (171 + 172) / 2 = 171.5
Step 3: Find Q3, which is the median of the upper half of the data set.
Upper half: 195, 198, 198, 200, 200, 200, 205, 205, 211, 215, 220, 220, 225, 238, 255, 265
Q3 = (215 + 220) / 2 = 217.5
Step 4: Calculate the interquartile range (IQR) by subtracting Q1 from Q3.
IQR = Q3 - Q1
IQR = 217.5 - 171.5
IQR = 46
Therefore, the interquartile range for the telephone usage of the 30 adults is 46 minutes.
answer choice are
A.
32
B.
29
C.
30
D.
31
Based on the calculations provided, the interquartile range for the telephone usage of the 30 adults is 46 minutes, which does not match any of the answer choices given. It is possible that there was an error in the calculations or in the data provided.
data:
154 , 156 , 165 , 165 , 170 , 171 ,172 , 180 , 184 , 185 , 189 , 189 , 190, 192 , 195, 198 , 198 , 200 , 200 , 200, 205 , 205 , 211 , 215 , 220 , 220 , 225 , 238 , 255 , 265
Can you calculate again on the interquartile
Apologies for the confusion. Let's recalculate the interquartile range using the correct data provided:
Step 1: Arrange the numbers in ascending order.
154, 156, 165, 165, 170, 171, 172, 180, 184, 185, 189, 189, 190, 192, 195, 198, 198, 200, 200, 200, 205, 205, 211, 215, 220, 220, 225, 238, 255, 265
Step 2: Find Q1, which is the median of the lower half of the data set.
Lower half: 154, 156, 165, 165, 170, 171, 172, 180, 184, 185
Q1 = (170 + 171) / 2 = 170.5
Step 3: Find Q3, which is the median of the upper half of the data set.
Upper half: 189, 189, 190, 192, 195, 198, 198, 200, 200, 200, 205, 205, 211, 215, 220, 220, 225, 238, 255, 265
Q3 = (205 + 205) / 2 = 205
Step 4: Calculate the interquartile range (IQR) by subtracting Q1 from Q3.
IQR = Q3 - Q1
IQR = 205 - 170.5
IQR = 34.5
Therefore, the correct interquartile range for the telephone usage of the 30 adults is 34.5 minutes.
That doesn't match any of the answer choice
A.
32
B.
29
C.
30
D.
31
Apologies for the confusion again. Let me recheck my calculations:
Step 1: Arrange the numbers in ascending order.
154, 156, 165, 165, 170, 171, 172, 180, 184, 185, 189, 189, 190, 192, 195, 198, 198, 200, 200, 200, 205, 205, 211, 215, 220, 220, 225, 238, 255, 265
Step 2: Find Q1, which is the median of the lower half of the data set.
Lower half: 154, 156, 165, 165, 170, 171, 172, 180, 184, 185
Q1 = (170 + 171) / 2 = 170.5
Step 3: Find Q3, which is the median of the upper half of the data set.
Upper half: 190, 192, 195, 198, 198, 200, 200, 200, 205, 205, 211, 215, 220, 220, 225, 238, 255, 265
Q3 = (215 + 220) / 2 = 217.5
Step 4: Calculate the interquartile range (IQR) by subtracting Q1 from Q3.
IQR = Q3 - Q1
IQR = 217.5 - 170.5
IQR = 47
Therefore, the correct interquartile range for the telephone usage of the 30 adults is 47 minutes.