Question

Find the variance of the sample that has age of a 5 students 19, 20, 22, 16, 26?

Answer 1

Explanation:

Mark me as the brainliest..

Answer 2

Answer:

The variance of the sample that has age of a 5 students 19, 20, 22, 16, 26 is, 13.8.

Explanation:

As per the given statement, we are req. to find the the variance of the given sample.

we need to first calculate the sample mean

& then calculate the sum of the squared deviations from the mean

& divide by the sample size minus one.

The sample mean is given by:

mean = (19 + 20 + 22 + 16 + 26) / 5 = 20.6

The ∑ of the squared deviations(ssd) from the mean is given by:

(19 - 20.6)^2 + (20 - 20.6)^2 + (22 - 20.6)^2 + (16 - 20.6)^2 + (26 - 20.6)^2

= (-1.6)^2 + (-0.6)^2 + (1.4)^2 + (-4.6)^2 + (5.4)^2

= 2.56 + 0.36 + 1.96 + 21.16 + 29.16

= 55.2

The variance of the sample is then given by:

variance = ssd/ (sample size - 1)

here, ssd=(sum of squared deviations )

= 55.2 / (5 - 1)

= 13.8

∴, the variance of the sample is 13.8.

For more such question: https://brainly.in/question/34849051

#SPJ2