4. What is the Z score (standardized score) for a mother who stays 48 hours? 5. Are most of our mothers staying the requisite 48 hours?

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Questions 4-5

### Measures of Central Tendency and Variability

You are practicing in a state that has a mandated length of stay for birthing mothers of 48 hours, if the mother so wishes. You are interested in determining how much variability there is in length of stay and if most mothers are staying the requisite length of time. The following data have been collected measuring length of stay on an obstetrical unit. Length of stay is measured in hours from the mother’s admission until the mother’s discharge (even if the baby must stay in the nursery).

#### Data:
| ID Number | Length of Stay (hours) |
|-----------|------------------------|
| 012672    | 56                     |
| 034157    | 36                     |
| 021256    | 32                     |
| 012178    | 40                     |
| 019872    | 30                     |
| 024678    | 26                     |
| 078987    | 52                     |
| 097866    | 38                     |
| 097854    | 32                     |
| 078654    | 28                     |
| 067543    | 52                     |
| 067543    | 38                     |
| 076865    | 30                     |
| 016754    | 45                     |
| 068654    | 42                     |
| 027865    | 40                     |
| 056432    | 68                     |
| 037654    | 72                     |
| 035627    | 32                     |
| 036579    | 46                     |

### Exercises:

1. **Calculate the mean length of stay in hours.**
2. **Calculate the standard deviation for length of stay in hours.**
3. **Calculate the coefficient of variation for length of stay in hours.**
4. **What is the Z score (standardized score) for a mother who stays 48 hours?**
5. **Are most of our mothers staying the requisite 48 hours?**
Transcribed Image Text:### Measures of Central Tendency and Variability You are practicing in a state that has a mandated length of stay for birthing mothers of 48 hours, if the mother so wishes. You are interested in determining how much variability there is in length of stay and if most mothers are staying the requisite length of time. The following data have been collected measuring length of stay on an obstetrical unit. Length of stay is measured in hours from the mother’s admission until the mother’s discharge (even if the baby must stay in the nursery). #### Data: | ID Number | Length of Stay (hours) | |-----------|------------------------| | 012672 | 56 | | 034157 | 36 | | 021256 | 32 | | 012178 | 40 | | 019872 | 30 | | 024678 | 26 | | 078987 | 52 | | 097866 | 38 | | 097854 | 32 | | 078654 | 28 | | 067543 | 52 | | 067543 | 38 | | 076865 | 30 | | 016754 | 45 | | 068654 | 42 | | 027865 | 40 | | 056432 | 68 | | 037654 | 72 | | 035627 | 32 | | 036579 | 46 | ### Exercises: 1. **Calculate the mean length of stay in hours.** 2. **Calculate the standard deviation for length of stay in hours.** 3. **Calculate the coefficient of variation for length of stay in hours.** 4. **What is the Z score (standardized score) for a mother who stays 48 hours?** 5. **Are most of our mothers staying the requisite 48 hours?**
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