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.
Answers
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
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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
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