Check Understanding 1. Zayn surveyed a group of people about how many times they ate at a restaurant last month. The results are: $$ 4,0,27,14,12,30,8,7,8,7,7,10 $$ 14,12 . Find the mean, median, and mode of the data. Mean: Modian: 2. Find the mean, median, and mode of the data: $$ 2.4,1.9,3.3,3.5,3.2,2.7,1.1,20.9,2.4 $$. Median: Mean:

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**Problem 1**

The data are:  
$$ 4,\, 0,\, 27,\, 14,\, 12,\, 30,\, 8,\, 7,\, 8,\, 7,\, 7,\, 10,\, 14,\, 12 $$.

1. **Mean**

- First, compute the sum:
     $$
     4+0+27+14+12+30+8+7+8+7+7+10+14+12=160.
     $$
   - There are 14 data points, so the mean is:
     $$
     \text{Mean}=\frac{160}{14}=\frac{80}{7}\approx 11.43.
     $$

2. **Median**

- Order the data in ascending order:
     $$
     0,\; 4,\; 7,\; 7,\; 7,\; 8,\; 8,\; 10,\; 12,\; 12,\; 14,\; 14,\; 27,\; 30.
     $$
   - With 14 data points, the median is the average of the 7$$^{\text{th}}$$ and 8$$^{\text{th}}$$ values:
     $$
     \text{Median}=\frac{8+10}{2}=9.
     $$

3. **Mode**

- The value that appears most frequently is $$7$$ (appearing 3 times).
   
   Therefore, the mode is $$7$$.

---

**Problem 2**

The data are:  
$$ 2.4,\, 1.9,\, 3.3,\, 3.5,\, 3.2,\, 2.7,\, 1.1,\, 20.9,\, 2.4 $$.

1. **Mean**

- First, compute the sum:
     $$
     2.4+1.9+3.3+3.5+3.2+2.7+1.1+20.9+2.4=41.4.
     $$
   - There are 9 data points, so the mean is:
     $$
     \text{Mean}=\frac{41.4}{9}=4.6.
     $$

2. **Median**

- Order the data in ascending order:
     $$
     1.1,\; 1.9,\; 2.4,\; 2.4,\; 2.7,\; 3.2,\; 3.3,\; 3.5,\; 20.9.
     $$
   - With 9 data points, the median is the 5$$^{\text{th}}$$ value:
     $$
     \text{Median}=2.7.
     $$

3. **Mode**

- The value that appears most frequently is $$2.4$$ (appearing twice).
   
   Therefore, the mode is $$2.4$$.
**Problem 1** - **Mean:** Approximately 11.43 - **Median:** 9 - **Mode:** 7 **Problem 2** - **Mean:** 4.6 - **Median:** 2.7 - **Mode:** 2.4

Check Understanding

Zayn surveyed a group of people about how many times they ate at a
restaurant last month. The results are:
14,12 . Find the mean, median, and mode of the data.
Mean: Modian:

Find the mean, median, and mode of the data:
. Median:
Mean:

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Check Understanding Zayn surveyed a group of people about how many times they ate at a restaurant last month. The results are: 14,12 . Find the mean, median, and mode of the data. Mean: Modian: Find the mean, median, and mode of the data: . Median: Mean: