Data Interpretation Discussion

**Common Information**

Study the bar chart and answer the question based on it.

Q. |
The average production of 1996 and 1997 was exactly equal to the average production of which of the following pairs of years? |

✖ A. |
2000 and 2001 |

✖ B. |
1999 and 2000 |

✖ C. |
1998 and 2000 |

✔ D. |
1995 and 2001 |

**Solution:**

Option(**D**) is correct

Average production (in 10000 tonnes) of 1996 and 1997:

$=\dfrac{40 + 60}{ 2}= 50$

We shall find the average production (in 10000 tonnes) for each of the given alternative pairs:

\begin{align*}

\text{2000 and 2001,}\\

&=\dfrac{50 + 75}{2}\\

&= 62.5\\

\text{1999 and 2000,}\\

&=\dfrac{65 + 50}{2}\\

&= 57.5\\

\text{1998 and 2000,}\\

&=\dfrac{45 + 50}{2}\\

&= 47.5\\

\text{1995 and 1999,}\\

&=\dfrac{25 + 65}{2}\\

&= 45 \\

\text{1995 and 2001,}\\

&=\dfrac{25 + 75}{2}\\

&= 50

\end{align*}

The average production of 1996 and 1997 is equal to the average production of **1995 and 2001**