#### Topics

##### Applications of Matrices and Determinants

##### Integral Calculus – 1

##### Integral Calculus – 2

##### Differential Equations

##### Numerical Methods

##### Random Variable and Mathematical Expectation

##### Probability Distributions

##### Sampling Techniques and Statistical Inference

##### Applied Statistics

##### Operations Research

#### description

- Methods of interpolation
- Graphical method
- Algebraic method
- Lagrange’s interpolation formula

#### Related QuestionsVIEW ALL [24]

Using graphic method, find the value of y when x = 48 from the following data:

x |
40 | 50 | 60 | 70 |

y |
6.2 | 7.2 | 9.1 | 12 |

The following data relates to indirect labour expenses and the level of output

Months |
Jan | Feb | Mar |

Units of output |
200 | 300 | 400 |

Indirect labourexpenses (Rs) |
2500 | 2800 | 3100 |

Months |
Apr | May | June |

Units of output |
640 | 540 | 580 |

Indirect labourexpenses (Rs) |
3820 | 3220 | 3640 |

Estimate the expenses at a level of output of 350 units, by using graphic method.

Using Newton’s forward interpolation formula find the cubic polynomial.

x |
0 | 1 | 2 | 3 |

f(x) |
1 | 2 | 1 | 10 |

The population of a city in a censes taken once in 10 years is given below. Estimate the population in the year 1955.

Year |
1951 | 1961 | 1971 | 1981 |

Population inlakhs |
35 | 42 | 58 | 84 |

In an examination the number of candidates who secured marks between certain intervals was as follows:

Marks |
0 - 19 | 20 - 39 | 40 - 59 | 60 - 79 | 80 - 99 |

No. of candidates |
41 | 62 | 65 | 50 | 17 |

Estimate the number of candidates whose marks are less than 70.

Find the value of f(x) when x = 32 from the following table:

x |
30 | 5 | 40 | 45 | 50 |

f(x) |
15.9 | 14.9 | 14.1 | 13.3 | 12.5 |

The following data gives the melting point of a alloy of lead and zinc where ‘t’ is the temperature in degree c and P is the percentage of lead in the alloy.

P |
40 | 50 | 60 | 70 | 80 | 90 |

T |
180 | 204 | 226 | 250 | 276 | 304 |

Find the melting point of the alloy containing 84 percent lead.

Find f(2.8) from the following table:

x |
0 | 1 | 2 | 3 |

f(x) |
1 | 2 | 11 | 34 |