# The following number of goals were scored by a team in a series of 10 matches:

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

Find the mean, median and mode of these scores.

**Solution:**

Given: Number of goals that was scored by a team in a series of 10 matches

To Find: Mean, median and mode.

The mean (or average) of a number of observations is the sum of the values of all the observations divided by the total number of observations.

The median is the value of the given number of observations, which divides it into exactly two parts. So, when the data is arranged in ascending (or descending) order the median of ungrouped data can be calculated based on the number of observations being even or odd.

The mode is the value of the observation which occurs most frequently.

The number of goals scored by the team is

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

Mean of data = Sum of all observation/Total number of observation

Mean score = (2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3)/10

= 28/10 = 2.8

= 2.8 goals

Arranging the number of goals in ascending order,

0, 1, 2, 3, 3, 3, 3, 4, 4, 5

The number of observations is 10, which is an even number. Therefore, the median score will be the average of 10/2 i.e., 5th and 10/2 + 1 i.e., 6th observation while arranged in ascending or descending order.

Median score = (5^{th} observation + 6^{th} observation)/2

= (3 + 3)/2 = 6/2 = 3

Mode of data is the observation with the maximum frequency in data.

Therefore, the mode score of data is 3 as it has a maximum frequency of 4 in the data.

**Video Solution:**

## The following number of goals were scored by a team in a series of 10 matches: 2, 3, 4, 5, 0, 1, 3, 3, 4, 3. Find the mean, median, and mode of these scores.

### NCERT Solutions for Class 9 Maths - Chapter 14 Exercise 14.4 Question 1:

**Summary:**

The data of the number of goals scored by a team in a series of 10 matches is given as 2, 3, 4, 5, 0, 1, 3, 3, 4, 3. We have found that the mean of the given data set is 2.8, the median is 3 and the mode is 3.