# ACET (Actuarial Common Entrance Test) Statistics: Questions 151 - 156 of 201

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## Question number: 151

» Correlation and Regression » Correlation Coefficient

### Question

Calculate coefficient of correlation from the following data using Karl Pearson’s method-

| 1 | 2 | 3 | 4 | 5 |

| 8 | 6 | 7 | 5 | 5 |

### Choices

Choice (4) | Response | |
---|---|---|

a. | 0.82 | |

b. | 0.75 | |

c. | -0.75 | |

d. | -0.90 |

## Question number: 152

» Measures of Spread » Standard Deviation

### Question

What is the standard deviation of 10,16,10,16,10,10,16,16?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 6 | |

b. | 4 | |

c. | 0 | |

d. | 3 |

## Question number: 153

### Question

A manager keeps a record of calls she makes each day on her mobile phone.

No. of calls per day | 0 | 1 | 2 | 3 | 4 | 5 | 6 |

Frequency | 3 | 4 | 6 | 8 | 6 | 3 | 1 |

Calculate the mean number of calls per day.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 2.83 | |

b. | 2.5 | |

c. | 2.97 | |

d. | 3 |

## Question number: 154

» Measures of Spread » Variance

### Question

If the standard deviation of x is 3, what is the variance of (5 - 2x)?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 9 | |

b. | 36 | |

c. | 1 | |

d. | 6 |

## Question number: 155

» Measures of Spread » Standard Deviation

### Question

The mean and standard deviation of two series having frequencies 100 and 150 is 50 & 5 and 40 & 6 respectively. Find the average and the standard deviation of all the 250 items taken together.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 50,7.80 | |

b. | 45,5.5 | |

c. | 44,7.45 | |

d. | 42,5.6 |

## Question number: 156

### Question

In how many ways can a team of 5 persons be formed out of a total of 10 persons such that two particular persons should not be included in any team?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 112 | |

b. | 28 | |

c. | 56 | |

d. | 128 |