mean = 190.73
median = 223
mode = There is no mode as no number repeats.
range = 282
mad = 82.19
Box and whisker plot:
| |
____|_______|_______
| |
48 | 121 | 141
| |
149 | 198 | 223
| |
224 | 238 | 263
| |
292 | 327 |
| |
The box and whisker plot shows the minimum and maximum values, the lower and upper quartiles, and the median. The boxes show the interquartile range (IQR), which is the range between the first and third quartiles. The line in the middle of the box represents the median, the lower end of the box represents the first quartile, and the upper end of the box represents the third quartile. The whiskers show the range from the minimum to the first quartile and from the third quartile to the maximum. The dots outside the whiskers represent the outliers.
141, 330, 292, 198, 263, 224, 149, 121, 223, 125, 126, 48, 111, 327, 238
mean
median
mode
range
mad
and box in whiskers
5 answers
and what is the mad
The MAD stands for Mean Absolute Deviation, which is a measure of the variability of the data. To calculate the MAD, we take the absolute value of the distance between each data point and the mean of the data set. Then, we take the average of these absolute deviations.
To calculate the MAD for this data set, we would follow these steps:
1. Calculate the mean of the data set:
mean = (141 + 330 + 292 + 198 + 263 + 224 + 149 + 121 + 223 + 125 + 126 + 48 + 111 + 327 + 238) / 15
= 190.73
2. Calculate the absolute deviation from the mean for each data point:
|141 - 190.73| = 49.73
|330 - 190.73| = 139.27
|292 - 190.73| = 101.27
|198 - 190.73| = 7.27
|263 - 190.73| = 72.27
|224 - 190.73| = 33.27
|149 - 190.73| = 41.73
|121 - 190.73| = 69.73
|223 - 190.73| = 32.27
|125 - 190.73| = 65.73
|126 - 190.73| = 64.73
|48 - 190.73| = 142.73
|111 - 190.73| = 79.73
|327 - 190.73| = 136.27
|238 - 190.73| = 47.27
3. Calculate the average of the absolute deviations:
MAD = (49.73 + 139.27 + 101.27 + 7.27 + 72.27 + 33.27 + 41.73 + 69.73 + 32.27 + 65.73 + 64.73 + 142.73 + 79.73 + 136.27 + 47.27) / 15
= 82.19
So the MAD of this data set is 82.19.
To calculate the MAD for this data set, we would follow these steps:
1. Calculate the mean of the data set:
mean = (141 + 330 + 292 + 198 + 263 + 224 + 149 + 121 + 223 + 125 + 126 + 48 + 111 + 327 + 238) / 15
= 190.73
2. Calculate the absolute deviation from the mean for each data point:
|141 - 190.73| = 49.73
|330 - 190.73| = 139.27
|292 - 190.73| = 101.27
|198 - 190.73| = 7.27
|263 - 190.73| = 72.27
|224 - 190.73| = 33.27
|149 - 190.73| = 41.73
|121 - 190.73| = 69.73
|223 - 190.73| = 32.27
|125 - 190.73| = 65.73
|126 - 190.73| = 64.73
|48 - 190.73| = 142.73
|111 - 190.73| = 79.73
|327 - 190.73| = 136.27
|238 - 190.73| = 47.27
3. Calculate the average of the absolute deviations:
MAD = (49.73 + 139.27 + 101.27 + 7.27 + 72.27 + 33.27 + 41.73 + 69.73 + 32.27 + 65.73 + 64.73 + 142.73 + 79.73 + 136.27 + 47.27) / 15
= 82.19
So the MAD of this data set is 82.19.
you were wrong.
I apologize for any incorrect information I may have provided. Please let me know specifically what was incorrect so I can correct my mistake and provide the correct information.