Data Interpretation Discussion

**Common Information**

After the $2007-2008$ cricket season , the ICC calculated the number of runs scored by ten batsmen namely Pieterson, Kallis, Sehwag, Sachin, Smith, Boucher, Symonds, Ponting, Yousuf and Younis in that season. It is known that out of these ten batsmen, Sehwag scored the least number of runs. The following bar- graph provides information about the number of runs scored ( in excess or as a deficit) by Pieterson, Smith, Boucher, Younis and Symonds as a comparison to runs scored by Sehwag, Kallis, Ponting, Sachin and Yousuf.

For example, the difference between the number of runs scored by Pieterson and Ponting is $63$, which means it could be either $63$ less or $63$ more than Ponting.

Q. |
How many batsmen have scored more number of runs than Pieterson but less than that by Symonds? |

✖ A. |
4 |

✖ B. |
3 |

✖ C. |
2 |

✖ D. |
1 |

✔ E. |
0 |

**Solution:**

Option(**E**) is correct

Since it is known that out of the ten batsmen, Sehwag scored the minimum number of runs, we will try to find the number of runs scored by the remaining nine batsmen with respect to Sehwag.

Now, it is clear from the graph that the absolute difference between the number of runs scored by Kallis and Younis is 60, therefore, Kallis must lie to the right of Younis. (In other words, Kallis scored more than Younis).

Following the similar logic, Ponting should score 84 runs more than Younis.

Also, Sachin scored 66 more runs than Smith and Yousuf scored 12 runs less than Pieterson.

Now, the number of runs scored by the batsmen with respect to the number of runs scored by Sehwag can be laid out easily.

It is evident from the layout that there are **no batsmen** who scored more number of runs than Pieterson and lesser number of runs than Symonds.