Question

For what value of X the mean of the following data is: 17, X,X+3, 18, 35 and 17.​

Answer 1

Answer:

X = 17

Step-by-step explanation:

kindly see the attachment for explanation.

Answer 2

We know that,

$Mean = \frac{Sum \: of \: all \: observations }{Number \: of \: observations}$

• Number of observations = 5
• Mean=17

Now,

$17 = \frac{x + x + 3 + 18 + 35 + 17}{5}$

$\implies \: 17 \times 5 = 2x + 73$

$\implies \: 85 = 2x + 73$

$\implies \: 2x = 85 - 73$

$\implies \: 2x = 12$

$\implies \: x = \frac{12}{2}$

$\implies \: x = 6$

$\star \: \blue {knowledge \: enhancer}$

• Mean: Mean of a number of observations is the sum of all observations divided by the number of observations.

• Mode: Mode of a data is the value of the observations that occur maximum number of times.

• Median: Median is the value of a given number of observations which divides it into exactly two parts.