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

Answer :

The number of goals scored by the team is

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

We know that,

Mean of data

= \(\frac{Sum of all observations}{Total number of observations}\)

Thus, Mean score

= \(\frac{2 + 3 + 4 + 5 + 0 + 1 + 3 + 3 + 4 + 3}{10}

= \frac{28}{10}\)

= 2.8 goals

Now, Arranging the number of goals in ascending order, we get,

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

Hence, the number of observations is 10, which is an even number.

Therefore, median Score will be the mean of \(\frac{10}{2}\) i.e.,5th and \(\frac{10}{2} + 1\) i.e,6th observation while arranged in
ascending or descending order.

i.e., Median score

= \(\frac{5th observation + 6th observation}{2}\)

\(= \frac{3 + 3}{2}\)

\(= \frac{6}{2}\)

\(= 3\)

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

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

- In a mathematics test given to 15 students, the following marks (out of 100) are recorded:41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60. Find the mean, median and mode of this data.
- The following observations have been arranged in ascending order. If the median of the data is 63, Find the value of x.29, 32, 48, 50, x, x + 2, 72, 78, 84, 95
- Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.
- Find the mean salary of 60 workers of a factory from the following table: Salary (in Rs.)No. of Workers 300016 400012 500010 60008 70006 80004 90003 100001 Total60
- Give one example of a situation in whichi) the mean is an appropriate measure of central tendency.ii) the mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

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