Question

Find the mean and median of the first seven multiples of seven​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

The first seven multiples of seven are:

7, 14, 21, 28, 35, 42, 49

Mean = 28

Median = 28

Step-by-step explanation:

Mean:

• Mean is the most commonly used measure of central tendency. It is the average of the given set of data.

• Mean can be found by dividing the sum of all values of data by the total number of data values. It is denoted by $\bar x$.

• The mean of the given data $x_{1}, x_{2} , x_{3}, ....., x_{n}$ can be found as:

          $\bar x = \frac{x_{1}+ x_{2} + x_{3}+ .....+x_{n}}{n}$    or

          $\bar x =\frac{\sum_{i=1}^{n} x_{i} }{n}$

Median:

• The median represents the middle value of the given set of data when arranged in ascending order.

• If the number of values in the given set of data is odd, then the median is given by [(n+1)/2]th observation.

• If the number of values in the given set of data is even, then the median is given by the average of (n/2)th and  [(n/2) +1]th observation.

Find:

Mean and Median of first seven multiples of seven = ?

Solution:

Firstly, the first seven multiples of seven are:

7, 14, 21, 28, 35, 42, 49

Mean:

Mean = $\frac{Sum\ of\ all\ values}{Number \ of\ values}$

          = $\frac{7+14+21+28+35+42+49}{7}$

          = $\frac{196}{7}$

          = $28$

Therefore, mean of the data = 28

Median:

Total number of values in the set of data = 7

It is an odd number. Therefore, median is given by [(n+1)/2]th observation.

i.e., [(7+1)/2] = 4th observation

Given set of data in ascending order:

7, 14, 21, 28, 35, 42, 49

4th data = 28

Therefore, median of the data = 28

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