Question

find the mean of the numbers 7,6,6,8,8,5,9,4,5,9,6,4,9,1and4,7​

Answer 1

Mean is the average of a given set of data.

$\tt Mean\ =\ \dfrac{Sum\ of\ all\ the\ observations}{Total\ number\ of\ observations}$

Observations: 7, 6, 6, 8, 8, 5, 9, 4, 5, 9, 6, 4, 9, 1, 4 and 7​.

Total number of observations: 16.

Using the values in the formula,

$\tt Mean\ =\ \dfrac{7\ +\ 6\ +\ 6\ +\ 8\ +\ 8\ +\ 5\ +\ 9\ +\ 4\ +\ 5\ +\ 9\ +\ 6\ +\ 4\ +\ 9\ +\ 1\ +\ 4\ +\ 7}{16}$

$\tt Mean\ =\ \dfrac{98}{16}\\\\\\Mean\ =\ 6.125$

Other data related terms:

1. Median: The middlemost in a given set of data.

$\tt When\ n\ (the\ number\ of\ observations)\ is\ an\ odd\ number,\\\\\\Median\ =\ \bigg[\dfrac{n\ +\ 1}{2}\bigg]^{th}\ term\\\\\\When\ n\ is\ an\ even\ number,\\\\\\Median\ =\ \bigg[\dfrac{\bigg(\dfrac{n}{2}\bigg)\ +\ \bigg(\dfrac{n}{2}\ +\ 1\bigg)}{2}\bigg]^{th}\ term$

2. Mode: The most repeated observation in a given set of data.

For example, consider the following observations:

1, 2, 2, 2, 3, 1, 2, 1, 2, 2 and 3.

As you can see, '2' is the mode [the most repeated] here.

Answer 2

$\huge\mathfrak\purple{Solution}$

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Ⓐⓝⓢⓦⓔⓡ ⓑⓨ Ⓜⓤⓢⓚⓐⓝ

ɴᴜᴍʙᴇʀs ᴀʀᴇ- 7,6,6,8,8,5,9,4,5,9,6,4,1,4,7

ɴᴏᴡ,ᴀᴅᴅ ᴀʟʟ ᴛʜᴇ ɴᴜᴍʙᴇʀs= 7+6+6+8+8+5+9+6+4+1+4+7

ᴀɴsᴡᴇʀ ɪs- 89

ɴᴏᴡ,ᴅɪᴠɪᴅᴇ ʙʏ 16

5.56 ɪs ᴛʜᴇ ᴀɴsᴡᴇʀ

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