Question 1: Find the mean of:

(i)

(ii)

(iii)

(iv)

Answer:

(i)

(ii)

(iii)

(iv)

Question 2:

(i) Find the mean of all prime numbers between and

(ii) Find the mean of first seven whole numbers

(iii) Find the mean of first five multiples of

Answer:

(i) Prime numbers between and are

(ii) First seven whole numbers

(iii) First five multiple of

Question 3: The mean of and is . Find the value of .

Answer:

Question 4: The mean of and is . Find the value of .

Answer:

Question 5: Find the mean of the following distribution:

Marks | |||||||

Number of students |

Answer:

Mean of a distribution

Mean of a distribution

Question 6: The following data gives the number of boys of a particular age in a class of 40 students:

Age in Years | ||||||

Number of Boys |

Calculate the mean age of the students.

Answer:

Mean of a distribution

Mean of a distribution

Question 7: The weight of 40 students in a class are given below:

Weight in Kg | |||||||

Number of students |

Find the mean weight.

Answer:

Mean of a distribution

Mean of a distribution

Question 8: Find the mean of the following frequency distribution:

Answer:

Mean of a distribution

Mean of a distribution

Question 9: If the mean of the following frequency distribution is 50, find the value of p.

Answer:

Mean of a distribution

Mean of a distribution:

Question 10: Find the mean of the following grouped frequency distribution:

(i)

Class – Interval | |||||

Frequency |

(ii)

Class – Interval | |||||

Frequency |

Answer:

(i) Mean of a distribution

Class – Interval | |||

Mean of a distribution

(ii) Mean of a distribution

Class – Interval | |||

Mean of a distribution

Question 11: The daily wages of 60 workers in a factory are given below:

Daily wages in Rs. | |||||

Number of workers |

Find the mean daily wages.

Answer:

Mean of a distribution

Daily wages in Rs. | |||

Mean of a distribution

Question 12: Find the mode of:

(i)

(ii)

Answer:

(i) In the given data, occurs the maximum number of times. Hence, the mode of the given data

(ii) In the given data, occurs the maximum number of times. Hence, the mode of the given data

Question 13: The ages (in years) of good players of a class are given below: . Find the mode age.

Answer:

In the given data, occurs the maximum number of times. Hence, the mode of the given data

Question 14: Daily wages of $latex 40 workers in a factory are given below.

Daily wages in Rs. | |||||

Number of workers |

Find the mode of the data.

Answer:

Since the frequency of is the highest, mode of the data .

Question 15: The height of plants (in cm) in a nursery are given below.

Height in cm | |||||

Number of plants |

Find the mode of the data.

Answer:

Since the frequency of is the highest, mode of the data .

Question 16: Find the median of each of the following data:

(i)

(ii)

(iii)

(iv)

Answer:

(i) On arranging the data in ascending order we get:

Number of terms

Therefore middle term

Therefore Median

(ii) On arranging the data in ascending order we get:

Number of terms

Therefore middle term

Therefore Median

(iii) On arranging the data in ascending order we get:

Number of terms

Therefore middle term

Therefore Median

(iv) On arranging the data in ascending order we get:

Number of terms

Therefore middle term

Therefore Median