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We are given:

- The mean height of 26 pupils is 147 cm.
- One pupil, whose height is 168 cm, leaves the group.
  
We need to calculate the new mean height after this pupil leaves.

### Step-by-step solution:

1. **Total height of the 26 pupils:**
   The total height is the mean height multiplied by the number of pupils:
   \[
   \text{Total height} = 147 \times 26 = 3822 \text{ cm}
   \]

2. **Subtract the height of the pupil who leaves:**
   The new total height after one pupil leaves is:
   \[
   \text{New total height} = 3822 - 168 = 3654 \text{ cm}
   \]

3. **New number of pupils:**
   After the pupil leaves, there are 25 pupils left.

4. **Calculate the new mean height:**
   The new mean height is the new total height divided by the new number of pupils:
   \[
   \text{New mean height} = \frac{3654}{25} = 146.16 \text{ cm}
   \]

   Rounding to 1 decimal place:
   \[
   \text{New mean height} = 146.2 \text{ cm}
   \]

Thus, the new mean height of the group is **146.2 cm**.

---

Would you like any more details or have any other questions?

Here are 5 related questions:
1. How would the mean height change if the pupil leaving was shorter than the current mean?
2. How do we calculate the mean when we add new pupils with different heights?
3. What is the effect of outliers (extremely tall or short pupils) on the mean?
4. Can we use the median instead of the mean in this situation? How would that affect the results?
5. How can we adjust the mean height when multiple pupils leave or join?

**Tip:** Remember, the mean is sensitive to extreme values (outliers), while the median gives a better sense of the middle value when outliers are present.

The mean height of 26 pupils is 147 cm. One of these pupils is 168 cm and leaves the group. Determine the new mean height of the group.

Learn how to calculate the new mean height when one pupil, taller than the group's average, leaves. Given the mean height of 26 pupils is 147 cm and one pupil of 168 cm leaves, we calculate the new mean step-by-step.

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