Question

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.​

Answer 1

Mean = sum of obs./ No. of observations

Mean = 2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3/10

Mean = 28/10

Mean = 2.8

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Mode = Number which occurs the most time

Mode = 3

___________________

Median = The middle number

Here,

• First we arrange the set of no. in ascending order.

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

• As the set is even, we take the two middle numbers. (3 and 3)

Now,

Median = 3 + 3/2

Median = 6/2

Median = 3

Answer 2

Step-by-step explanation

Given:

• Numbers are 2,3,4,5,0,1,3,3,4,3

To Find:

• Mean , Mode and Median

Solution:

★ To find mean we have to add all the values together and divide the sum by total numbers given in our data i.e 10 ★

• 2+3+4+5+0+1+3+3+4+3 = 28

• 28/10 = 2.8 Mean

★ To find Median we have to arrange the given data in Ascending Order and then find the middle numbers

• 0, 1, 2, 3 ,3, 3, 3, 4, 4, 5 → Here, Middle numbers are 3 and 3

→ Find the average of these ( middle) numbers. We will get median

• 3 + 3 / 2 = 6/2 = 3 [ Median]

★ To find Mode : The mode of a data set is the number that occurs frequently in the set ★

→ Here the numbers are 0,1,2,3,3,3,3,4,4,5 , and the number 3

occured most of time

∴ Mode = 3