CUET CUET Mathematics 2024 - The following data is from a simple random sample : 15,23, x, 37,19,32 If the point estimate of the population mean is 23, then the value of x is : | PYQs + Solutions

CUET Mathematics 2024

Statistics & Applications

Inferential

Easy

The following data is from a simple random sample : $\newline$ $15,23, x, 37,19,32$
If the point estimate of the population mean is $23$ , then the value of $x$ is :

12

30

21

24

Correct Option: 1

\text{Sample Mean} = \frac{\text{Sum of all observations}}{\text{Number of observations}}

For our data:

\newline

23 = \frac{15 + 23 + x + 37 + 19 + 32}{6}

23 = \frac{126 + x}{6}

23 \times 6 = 126 + x

138 = 126 + x

x = 138 - 126 = 12

Therefore, the value of

x = 12