Answer :
To analyze the birth years of the family members and draw a bar graph, as well as calculate the mean and median, let's first list out the birth years given:
1. 1999
2. 1979
3. 2010
4. 2011
5. 2013
6. 2020
7. 2023
### Step 1: Draw a Bar Graph
Let's create a bar graph where the x-axis represents the family members (numbered 1 to 7) and the y-axis represents their birth years.
```plaintext
1999 |
1979 | #
2010 | #
2011 | #
2013 | #
2020 | #
2023 | #
+-----------------------------------
1 2 3 4 5 6 7
```
In the graph:
- Each "#" represents a birth year plotted against the corresponding family member number.
### Step 2: Calculate Mean and Median
#### Mean Calculation:
Mean (average) is calculated by summing all values and dividing by the number of values.
Mean = (1999 + 1979 + 2010 + 2011 + 2013 + 2020 + 2023) / 7
Mean = 14055 / 7
Mean = 2007.857
Rounded to nearest whole number: Mean ≈ **2008**
#### Median Calculation:
To find the median:
1. Arrange the birth years in ascending order:
1979, 1999, 2010, 2011, 2013, 2020, 2023
2. Since there are 7 numbers, the median is the 4th number (middle value) in this sorted list.
Median = 2011
### Summary:
- **Mean (Average) Birth Year:** 2008
- **Median Birth Year:** 2011
These calculations provide a statistical overview of the birth years of the family members.
1. 1999
2. 1979
3. 2010
4. 2011
5. 2013
6. 2020
7. 2023
### Step 1: Draw a Bar Graph
Let's create a bar graph where the x-axis represents the family members (numbered 1 to 7) and the y-axis represents their birth years.
```plaintext
1999 |
1979 | #
2010 | #
2011 | #
2013 | #
2020 | #
2023 | #
+-----------------------------------
1 2 3 4 5 6 7
```
In the graph:
- Each "#" represents a birth year plotted against the corresponding family member number.
### Step 2: Calculate Mean and Median
#### Mean Calculation:
Mean (average) is calculated by summing all values and dividing by the number of values.
Mean = (1999 + 1979 + 2010 + 2011 + 2013 + 2020 + 2023) / 7
Mean = 14055 / 7
Mean = 2007.857
Rounded to nearest whole number: Mean ≈ **2008**
#### Median Calculation:
To find the median:
1. Arrange the birth years in ascending order:
1979, 1999, 2010, 2011, 2013, 2020, 2023
2. Since there are 7 numbers, the median is the 4th number (middle value) in this sorted list.
Median = 2011
### Summary:
- **Mean (Average) Birth Year:** 2008
- **Median Birth Year:** 2011
These calculations provide a statistical overview of the birth years of the family members.