###### Advertisements

###### Advertisements

A hockey player has scored following number of goals in 9 matches. 5, 4, 0, 2, 2, 4, 4, 3, 3.

Find the mean, median and mode of the data.

###### Advertisements

#### Solution

The scores of the hockey player in 9 matches in ascending order: 0, 2, 2, 3, 3, 4, 4, 4, 5

Mean = `( 5 + 4 + 0 + 2 + 2 + 4 + 4 + 3 + 3 ) / 9` = `27 / 9` = 3

Median = `((9 + 1)/2)^"th"` = `( 10/2 )^"th"` = 5^{th} Observation = 3

Mode = The observation with the maximum occurrence = 4

#### APPEARS IN

#### RELATED QUESTIONS

If the heights of 5 persons are 140 cm, 150 cm, 152 cm, 158 cm and 161 cm respectively,

find the mean height.

Explain, by taking a suitable example, how the arithmetic mean alters by

(i) adding a constant k to each term

(ii) subtracting a constant k from each them

(iii) multiplying each term by a constant k and

(iv) dividing each term by a non-zero constant k.

Find the sum of the deviations of the variate values 3, 4, 6, 7, 8, 14 from their mean.

Find the missing value of p for the following distribution whose mean is 12.58.

x | 5 | 8 | 10 | 12 | p | 20 | 25 |

f | 2 | 5 | 8 | 22 | 7 | 4 | 2 |

Find the missing frequency (p) for the following distribution whose mean is 7.68.

x | 3 | 5 | 7 | 9 | 11 | 13 |

f | 6 | 8 | 15 | p | 8 | 4 |

The weights (in kg) of 15 students are: 31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45, 42,30. Find the median. If the weight 44 kg is replaced by 46 kg and 27 kg by 25 kg, find the new median.

If the median of the scores 1, 2, x, 4, 5 (where 1 < 2 < x < 4 < 5) is 3, then find the mean of the scores.

Mode is

Yield of soyabean per acre in quintal in Mukund's field for 7 years was 10, 7, 5, 3, 9, 6, 9. Find the mean of yield per acre.

Find the median of the observations, 59, 75, 68, 70, 74, 75, 80.

The monthly salaries in rupees of 30 workers in a factory are given below.

5000, 7000, 3000, 4000, 4000, 3000, 3000, 3000, 8000, 4000, 4000, 9000, 3000, 5000, 5000, 4000, 4000, 3000, 5000, 5000, 6000, 8000, 3000, 3000, 6000, 7000, 7000, 6000, 6000, 4000

From the above data find the mean of monthly salary.

The mean salary of 20 workers is Rs.10,250. If the salary of office superintendent is added, the mean will increase by Rs.750. Find the salary of the office superintendent.

The mean of nine numbers is 77. If one more number is added to it then the mean increases by 5. Find the number added in the data.

If the mean of the following data is 20.2, then find the value of p.

x_{i} |
10 | 15 | 20 | 25 | 30 |

f_{i} |
6 | 8 | p | 10 | 6 |

In a frequency distribution, the mid-value of a class is 10 and the width of the class is 6. The lower limit of the class is ______.

The mean marks (out of 100) of boys and girls in an examination are 70 and 73, respectively. If the mean marks of all the students in that examination is 71, find the ratio of the number of boys to the number of girls.

There are 10 observations arranged in ascending order as given below. 45, 47, 50, 52, x, x + 2, 60, 62, 63, 74. The median of these observations is 53. Find the value of x. Also find the mean and the mode of the data.