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Question

The table given below shows the runs scored by 4 different batsmen B1, B2, B3, and B4 in 5 different matches of a series.

Matches

M1

M2

M3

M4

M5

B1

120

95

83

86

20

B2

12

8

0

196

52

B3

23

36

45

19

27

B4

56

65

85

45

42

What is the difference in the total number of runs scored by B1 and B4 in these 5 matches?

The correct answer is

111

Understanding the Runs Data

The question provides a table showing the runs scored by four different batsmen (B1, B2, B3, and B4) across five different matches (M1, M2, M3, M4, and M5). We need to find the difference in the total runs scored by batsmen B1 and B4 over these five matches.

Matches M1 M2 M3 M4 M5
B1 120 95 83 86 20
B2 128 0 19 65 52
B3 23 36 45 19 27
B4 56 65 85 45 42

Calculating Total Runs for Batsmen B1 and B4

To find the difference in total runs, we first need to calculate the total runs scored by B1 and B4 across all 5 matches.

Total Runs by B1:

Batsman B1 scored runs in the 5 matches as follows: 120, 95, 83, 86, and 20.

Total runs by B1 = Sum of runs in M1, M2, M3, M4, and M5 for B1.

Total runs by B1 $= 120 + 95 + 83 + 86 + 20$

Total runs by B1 $= 215 + 83 + 86 + 20$

Total runs by B1 $= 298 + 86 + 20$

Total runs by B1 $= 384 + 20$

Total runs by B1 $= 404$

Total Runs by B4:

Batsman B4 scored runs in the 5 matches as follows: 56, 65, 85, 45, and 42.

Total runs by B4 = Sum of runs in M1, M2, M3, M4, and M5 for B4.

Total runs by B4 $= 56 + 65 + 85 + 45 + 42$

Total runs by B4 $= 121 + 85 + 45 + 42$

Total runs by B4 $= 206 + 45 + 42$

Total runs by B4 $= 251 + 42$

Total runs by B4 $= 293$

Calculating the Difference in Total Runs

The question asks for the difference in the total number of runs scored by B1 and B4. This is found by subtracting the smaller total from the larger total.

Difference = Total runs by B1 $-$ Total runs by B4

Difference $= 404 - 293$

Difference $= 111$

The difference in the total number of runs scored by B1 and B4 in these 5 matches is 111.

Revision Table: Summary of Calculations

Batsman Runs (M1) Runs (M2) Runs (M3) Runs (M4) Runs (M5) Total Runs
B1 120 95 83 86 20 404
B4 56 65 85 45 42 293

Difference in Total Runs $= |404 - 293| = 111$

Additional Information on Data Interpretation

Data interpretation involves analyzing information presented in tables, charts, or graphs to answer specific questions. Key steps often include:

  • Understanding the data source and what it represents.
  • Identifying the specific information needed to answer the question.
  • Performing necessary calculations (addition, subtraction, averages, percentages, etc.).
  • Comparing different data points or totals as required by the question.
  • Presenting the final answer based on the analysis.

In this specific problem, the task was straightforward: sum up the values for each required category (batsman B1 and B4 across all matches) and then find the difference between these sums.

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Important Questions from Tabulation

  1. Table shows income (in Rs.) received by 4 employees of a company during the month of December 2020 and all their income sources.

    Source

    Amit

    Suresh

    Nitin

    Varun

    Salary

    35000

    38000

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    By what percent are the Arrears of Amit and Suresh taken together less than the Arrears of Nitin and Varun taken together?
  2. The table given below shows the GDP of two countries in different five years.

    Country
    YearsAB
    Y1175285
    Y2200300
    Y3150125
    Y47585
    Y55095

    K1 = The value of average GDP of country A in all the 5 years.

    K2 = The value of average GDP of country B in all the 5 years.

    What is the value of (K1 + K2)?

  3. Study the Table Properly and answer by interpreting the data

    The table shows the percentage population of five districts in a state below poverty line and the proportion of males and females.

    DistrictPercentage of population
    below poverty level
    Proportion of Male and Female 
    Below poverty line (M:F)Above poverty Line (M:F)
    D1152 : 33 : 2
    D2183 : 47 : 5
    D3202 : 53 : 4
    D4255 : 24 : 3
    D5123 : 72 : 7

    If the total population in the district D3 is 40,000, then what is the population of below poverty line in the district D3, ?

  4. The table given below shows the marks obtained by 4 students in 5 subjects. The maximum marks of each subject is 100.

    Subjects

    Students

    P1

    P2

    P3

    P4

    S1

    89

    100

    92

    91

    S2

    62

    52

    72

    37

    S3

    57

    55

    70

    65

    S4

    76

    85

    76

    58

    S5

    85

    70

    66

    62

    What is the total percent marks of P4?

  5. The data given below shows the number of people who have saved a certain amount of money.

    Savings

    (in Rs.)

    Number of people

    5

    1

    15

    3

    20

    4

    25

    2

    30

    1

    35

    1

    40

    2

    What is the mode of the given data?

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