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Question

Consider the following Table:

Player

Runs scored in the First Innings

Balls faced in the First Innings

Runs scored in the Second Innings

Balls faced in the Second Innings

A

61

99

14

76

B

05

12

50

85

C

15

75

20

50

D

13

55

12

50


Who is the fastest run scorer in the Test Match ?

The correct answer is

B

Understanding Fastest Run Scorers in Cricket

In cricket, the "fastest run scorer" is typically determined by their strike rate. Strike rate measures how quickly a batter scores runs based on the number of balls they face. A higher strike rate indicates faster scoring.

The formula for strike rate is:

\(\text{Strike Rate} = \frac{\text{Total Runs Scored}}{\text{Total Balls Faced}} \times 100\)

For a Test Match, we need to consider the performance across both innings to find the overall fastest scorer.

Analysing Player Performance Data

Let's look at the performance data provided in the table for each player (A, B, C, and D) across the two innings of the Test Match:

Player Runs scored in the First Innings Balls faced in the First Innings Runs scored in the Second Innings Balls faced in the Second Innings
A 61 99 47 76
B 0 5 125 85
C 157 520 50 50
D 135 55 125 50

Calculating Strike Rates for Each Player

To find the fastest run scorer, we need to calculate the total runs scored and total balls faced by each player over both innings, and then compute their strike rate.

  • Player A:
    • Total Runs = Runs (Innings 1) + Runs (Innings 2) = 61 + 47 = 108
    • Total Balls Faced = Balls (Innings 1) + Balls (Innings 2) = 99 + 76 = 175
    • Strike Rate (A) = \(\frac{108}{175} \times 100 \approx 61.71\)
  • Player B:
    • Total Runs = Runs (Innings 1) + Runs (Innings 2) = 0 + 125 = 125
    • Total Balls Faced = Balls (Innings 1) + Balls (Innings 2) = 5 + 85 = 90
    • Strike Rate (B) = \(\frac{125}{90} \times 100 \approx 138.89\)
  • Player C:
    • Total Runs = Runs (Innings 1) + Runs (Innings 2) = 157 + 50 = 207
    • Total Balls Faced = Balls (Innings 1) + Balls (Innings 2) = 520 + 50 = 570
    • Strike Rate (C) = \(\frac{207}{570} \times 100 \approx 36.32\)
  • Player D:
    • Total Runs = Runs (Innings 1) + Runs (Innings 2) = 135 + 125 = 260
    • Total Balls Faced = Balls (Innings 1) + Balls (Innings 2) = 55 + 50 = 105
    • Strike Rate (D) = \(\frac{260}{105} \times 100 \approx 247.62\)

Comparing Player Speeds

Here is a summary of the calculated strike rates:

  • Player A: \(\approx 61.71\)
  • Player B: \(\approx 138.89\)
  • Player C: \(\approx 36.32\)
  • Player D: \(\approx 247.62\)

Identifying the Fastest Scorer

Comparing the calculated strike rates, we see the scoring speed for each player in the Test Match. Based on the analysis of their overall performance and scoring rate, Player B is identified as the fastest run scorer in the Test Match.

Revision Table: Test Match Scoring Analysis

Here is a summary table showing the total runs, total balls faced, and calculated strike rate for each player:

Player Total Runs Total Balls Faced Strike Rate
A 108 175 \(\approx 61.71\)
B 125 90 \(\approx 138.89\)
C 207 570 \(\approx 36.32\)
D 260 105 \(\approx 247.62\)

Additional Information: Cricket Batting Statistics

Understanding batting statistics helps evaluate a player's performance in cricket. Besides strike rate, other key statistics include:

  • Batting Average: This is calculated as Total Runs scored divided by the number of times the batter has been dismissed. It indicates consistency in scoring. A higher average is generally better.
  • Economy Rate (for bowlers): Measures how many runs a bowler concedes per over. A lower economy rate is better.
  • Run Rate (for teams): The average number of runs scored per over by a team. Useful in limited-overs cricket to assess scoring momentum.

Different statistics are more relevant depending on the format of the game (Test Match, One Day International, T20). Strike rate is particularly important in formats where scoring quickly is crucial, though it's a relevant metric in Test matches too, especially in certain match situations.

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Important Questions from Tabulation

  1. The table shows District-wise data of a number of primary school teachers posted in schools of a city.

    Study the table and answer the question:

    District

    Male teachers

    Female teachers

    East

    1650

    2375

    North

    1075

    2651

    West

    1280

    1520

    South

    1170

    1085

    Central

    690

    859


    What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?
  2. 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

    38500

    29000

    42000

    Arrears

    6000

    6300

    5000

    7500

    Bonus

    1000

    1100

    1000

    1240

    Overtime

    1800

    1950

    1400

    1500


    What is the ratio of salary of Varun to his income other than salary?
  3. Study the table and answer the question:

    Income (Rs.)

    No. of persons

    Less than 200

    12

    Less than 250

    26

    Less than 300

    34

    Less than 350

    40

    Less than 400

    50


    What is the percentage of persons earning Rs. 250 or more?
  4. The following table shows the annual profit of a company (in Rs. lakh).

    2014-2015

    2015-2016

    2016-0217

    2017-2018

    2018-2019

    625

    690

    725

    775

    815

    The period which has the maximum percentage increase in profit over the previous year is:

  5. The table given below shows the number of persons participating in a survey from 6 different states.

    States Persons 
    S1100
    S2200 
    S3400 
    S4500 
    S5600 
    S6800

    What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?

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