The following is the data of pocket expenditure per week of 50 students in a class. It is known that the median of the distribution is ₹120. Find the missing frequencies.

Expenditure per week(in ₹) |
0 – 50 | 50 – 100 | 100 – 150 | 150 –200 | 200 –250 |

No. of students |
7 | ? | 15 | ? | 3 |

Concept: Concept of Median

Find the missing frequency given that the median of the distribution is 1504.

Life in hours |
950 – 1150 | 1150 – 350 | 1350 – 1550 | 1550 – 1750 | 1750 – 1950 | 1950 – 2150 |

No. of bulbs |
20 | 43 | 100 | – | 23 | 13 |

Concept: Concept of Median

From the following distribution, determine median graphically.

Daily wages (in ₹) |
No. of employees |

Above 300 | 520 |

Above 400 | 470 |

Above 500 | 399 |

Above 600 | 210 |

Above 700 | 105 |

Above 800 | 45 |

Above 900 | 7 |

Concept: Concept of Median

In the following data one of the value of y is missing. Arithmetic means of x and y series are 6 and 8 respectively. `(sqrt(2) = 1.4142)`

x |
6 | 2 | 10 | 4 | 8 |

y |
9 | 11 | ? | 8 | 7 |

Estimate missing observation

Concept: Correlation

State the sample space and n(S) for the following random experiment.

A coin is tossed twice. If a second throw results in a tail, a die is thrown.

Concept: Introduction of Probability

State the sample space and n(S) for the following random experiment.

A coin is tossed twice. If a second throw results in head, a die thrown, otherwise a coin is tossed.

Concept: Introduction of Probability

In a bag, there are three balls; one black, one red, and one green. Two balls are drawn one after another with replacement. State sample space and n(S).

Concept: Introduction of Probability

A coin and a die are tossed. State sample space of following event.

A: Getting a head and an even number.

Concept: Introduction of Probability

A coin and a die are tossed. State sample space of following event.

B: Getting a prime number.

Concept: Introduction of Probability

A coin and a die are tossed. State sample space of following event.

C: Getting a tail and perfect square.

Concept: Introduction of Probability

Find total number of distinct possible outcomes n(S) of the following random experiment.

From a box containing 25 lottery tickets any 3 tickets are drawn at random.

Concept: Introduction of Probability

Find total number of distinct possible outcomes n(S) of the following random experiment.

From a group of 4 boys and 3 girls, any two students are selected at random.

Concept: Introduction of Probability

Find total number of distinct possible outcomes n(S) of the following random experiment.

5 balls are randomly placed into 5 cells, such that each cell will be occupied.

Concept: Introduction of Probability

Find total number of distinct possible outcomes n(S) of the following random experiment.

6 students are arranged in a row for a photograph.

Concept: Introduction of Probability

Two dice are thrown. Write favourable Outcomes for the following event.

P: Sum of the numbers on two dice is divisible by 3 or 4.

Concept: Introduction of Probability

Two dice are thrown. Write favourable outcomes for the following event.

Q: Sum of the numbers on two dice is 7.

Concept: Introduction of Probability

Two dice are thrown. Write favourable outcomes for the following event.

R: Sum of the numbers on two dice is a prime number.

Also, check whether Events P and Q are mutually exclusive and exhaustive.

Concept: Introduction of Probability

Two dice are thrown. Write favourable outcomes for the following event.

R: Sum of the numbers on two dice is a prime number.

Also, check whether Events Q and R are mutually exclusive and exhaustive.

Concept: Introduction of Probability

A card is drawn at random from an ordinary pack of 52 playing cards. State the number of elements in the sample space if consideration of suits is not taken into account.

Concept: Introduction of Probability

A card is drawn at random from an ordinary pack of 52 playing cards. State the number of elements in the sample space if consideration of suits is taken into account.

Concept: Introduction of Probability