Answer :
Certainly! Let's analyze the runs scored by the players of the Class VII cricket team and determine the total runs, average (mean) runs, highest runs, and lowest runs.
### Step-by-Step Solution:
1. Calculating the Total Runs Scored by the Team:
We need to find the sum of all the runs scored by each player. Here are the runs: [tex]\( 15, 20, 3, 0, 50, 16, 35, 61, 20, 5, 18 \)[/tex].
Sum of the runs:
[tex]\[ 15 + 20 + 3 + 0 + 50 + 16 + 35 + 61 + 20 + 5 + 18 = 243 \][/tex]
So, the total runs scored by the team is [tex]\( 243 \)[/tex] runs.
2. Calculating the Average (Mean) Runs Scored:
To calculate the average runs, we divide the total runs by the number of players.
There are [tex]\( 11 \)[/tex] players.
Average runs:
[tex]\[ \frac{\text{Total Runs}}{\text{Number of Players}} = \frac{243}{11} = 22.09090909090909 \][/tex]
So, the average runs scored by the players is approximately [tex]\( 22.09 \)[/tex] runs.
3. Finding the Highest Runs Scored:
To determine the highest runs scored by any player, we look for the maximum value in the list of runs.
The highest runs scored are [tex]\( 61 \)[/tex].
4. Finding the Lowest Runs Scored:
To determine the lowest runs scored by any player, we look for the minimum value in the list of runs.
The lowest runs scored are [tex]\( 0 \)[/tex].
### Summary:
- Total Runs Scored: [tex]\( 243 \)[/tex]
- Average (Mean) Runs Scored: [tex]\( 22.09 \)[/tex]
- Highest Runs Scored: [tex]\( 61 \)[/tex]
- Lowest Runs Scored: [tex]\( 0 \)[/tex]
These calculations give us a clear understanding of the performance of the Class VII cricket team in terms of their individual and collective run contributions in the match.
### Step-by-Step Solution:
1. Calculating the Total Runs Scored by the Team:
We need to find the sum of all the runs scored by each player. Here are the runs: [tex]\( 15, 20, 3, 0, 50, 16, 35, 61, 20, 5, 18 \)[/tex].
Sum of the runs:
[tex]\[ 15 + 20 + 3 + 0 + 50 + 16 + 35 + 61 + 20 + 5 + 18 = 243 \][/tex]
So, the total runs scored by the team is [tex]\( 243 \)[/tex] runs.
2. Calculating the Average (Mean) Runs Scored:
To calculate the average runs, we divide the total runs by the number of players.
There are [tex]\( 11 \)[/tex] players.
Average runs:
[tex]\[ \frac{\text{Total Runs}}{\text{Number of Players}} = \frac{243}{11} = 22.09090909090909 \][/tex]
So, the average runs scored by the players is approximately [tex]\( 22.09 \)[/tex] runs.
3. Finding the Highest Runs Scored:
To determine the highest runs scored by any player, we look for the maximum value in the list of runs.
The highest runs scored are [tex]\( 61 \)[/tex].
4. Finding the Lowest Runs Scored:
To determine the lowest runs scored by any player, we look for the minimum value in the list of runs.
The lowest runs scored are [tex]\( 0 \)[/tex].
### Summary:
- Total Runs Scored: [tex]\( 243 \)[/tex]
- Average (Mean) Runs Scored: [tex]\( 22.09 \)[/tex]
- Highest Runs Scored: [tex]\( 61 \)[/tex]
- Lowest Runs Scored: [tex]\( 0 \)[/tex]
These calculations give us a clear understanding of the performance of the Class VII cricket team in terms of their individual and collective run contributions in the match.