Question

b. the teacher decides to take several samples of 30 crayons and calculate the mean of each sample to compare to the first mean that was calculated. sample means: 1.4, 3.1, 2.5, 1.3, 2.2, 1.4, 2.1, 2.9, 1.1, 3.2 what is the mean of the sample means? ______ inches

Explanation:

Step1: Sum all sample means

First, we add up all the sample means: \(1.4 + 3.1 + 2.5 + 1.3 + 2.2 + 1.4 + 2.1 + 2.9 + 1.1 + 3.2\)
Let's calculate that step by step:
\(1.4+3.1 = 4.5\)
\(4.5+2.5 = 7\)
\(7+1.3 = 8.3\)
\(8.3+2.2 = 10.5\)
\(10.5+1.4 = 11.9\)
\(11.9+2.1 = 14\)
\(14+2.9 = 16.9\)
\(16.9+1.1 = 18\)
\(18+3.2 = 21.2\)

Step2: Divide by number of samples

There are 10 sample means. So we divide the sum by 10: \(\frac{21.2}{10}\)

Answer:

\(2.12\)