T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 12 – Correlation is regarded as an important concept to be studied thoroughly by the students. Here, we have provided T.R. Jain and V.K. Ohri Solutions for Class 11.

Board | CBSE |

Class | Class 11 |

Subject | Statistics for Economics |

Chapter | Chapter 12 |

Chapter Name | Correlation |

Number of questions solved | 02 |

Category | T.R. Jain and V.K. Ohri |

Chapter 12 – Correlation covers the below-mentioned concepts:

- Concept and definition of Correlation
- Simple and Multiple Correlation
- Linear and Non-linear correlation
- Karl Pearson’s Coefficient of Correlation
- Properties of the correlation coefficient

## T.R. Jain and V.K. Ohri Solutions for Class 11 Statistics for Economics Chapter 12 – Correlation

### Question 1

From the following data, compute the Coefficient of Correlation between X and Y series:

X-series | Y-series | |

Number of items | 6 | 6 |

Arithmetic Mean | 350 | 138 |

Squares of Deviations from Mean | 19 | 94 |

Summation of the product of deviations of X and Y series from their respective arithmetic mean = 41.

**Solution**:

Given,

N = 6, \(\bar{X}\)= 350, \(\bar{Y}\) = 138, = 19, = 94, xy = 41

r = \(\frac{\sum xy}{\sqrt{\sum x^{2}\times \sum y^{2}}}\)

Substituting the values, we get

r = \(\frac{41}{\sqrt{19\times94}}= \frac{41}{\sqrt{1,786}}=\frac{41}{42.26}=0.97\)

**Coefficient of Correlation (r) = +0.97**

### Question 2

What is Correlation?

**Solution:** According to Boddington, “Wherever some definite connection exists between the two or more groups, classes or series or data there is said to be correlation”.

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