Direction: The table given below shows the runs scored by 5 players in Four matches. Player Match I II III IV A 70 105 55 135 B 40 35 95 72 C 60 68 75 85 D 95 45 55 60 E 105 110 125 122
What is the difference between total runs scored by A and B in four matches?
123
Calculating Total Runs and Finding the Difference
This question asks us to find the difference between the total runs scored by two players, A and B, over four matches, using the data provided in a table. To do this, we first need to calculate the total runs for each player by summing their scores across all four matches. Then, we will find the difference between these two total scores.
Understanding the Data Table
The table shows the individual match scores for five different players (A, B, C, D, E) across four matches (Match I, Match II, Match III, Match IV).
| Player | Match I | Match II | Match III | Match IV |
|---|---|---|---|---|
| A | 70 | 105 | 55 | 135 |
| B | 40 | 35 | 95 | 72 |
| C | 60 | 68 | 75 | 85 |
| D | 95 | 45 | 55 | 60 |
| E | 105 | 110 | 125 | 122 |
Step-by-Step Calculation of Total Runs
Calculate Total Runs for Player A
To find the total runs for Player A, we add up their scores from Match I, Match II, Match III, and Match IV.
Total Runs (A) = Score in Match I + Score in Match II + Score in Match III + Score in Match IV
Total Runs (A) = $70 + 105 + 55 + 135$
Total Runs (A) = $175 + 55 + 135$
Total Runs (A) = $230 + 135$
Total Runs (A) = $365$
So, the total runs scored by Player A in four matches is 365.
Calculate Total Runs for Player B
Similarly, to find the total runs for Player B, we add up their scores from Match I, Match II, Match III, and Match IV.
Total Runs (B) = Score in Match I + Score in Match II + Score in Match III + Score in Match IV
Total Runs (B) = $40 + 35 + 95 + 72$
Total Runs (B) = $75 + 95 + 72$
Total Runs (B) = $170 + 72$
Total Runs (B) = $242$
So, the total runs scored by Player B in four matches is 242.
Calculating the Difference in Total Runs
Now, we need to find the difference between the total runs scored by A and B. Difference is calculated by subtracting the smaller value from the larger value.
Difference = Total Runs (A) - Total Runs (B)
Difference = $365 - 242$
Let's perform the subtraction:
- Subtract the units digits: $5 - 2 = 3$
- Subtract the tens digits: $6 - 4 = 2$
- Subtract the hundreds digits: $3 - 2 = 1$
Difference = $123$
The difference between the total runs scored by A and B in four matches is 123.
Final Answer Summary
Total runs by Player A = 365
Total runs by Player B = 242
Difference = Total runs (A) - Total runs (B) = $365 - 242 = 123$
Revision Table: Key Calculations
| Player | Calculation | Total Runs |
|---|---|---|
| A | $70 + 105 + 55 + 135$ | 365 |
| B | $40 + 35 + 95 + 72$ | 242 |
| Difference | $365 - 242$ | 123 |
Additional Information on Data Analysis
Working with tables like this involves basic data analysis skills. Finding the sum of values for a specific category (like total runs for a player) is a common operation. Calculating the difference between sums allows us to compare performance metrics. This type of analysis is fundamental in understanding data presented in tabular format and drawing simple conclusions, such as identifying who scored more or by how much. Data tables are widely used to organize information, making it easier to read, compare, and perform calculations.
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