charles asked his teammates how many hours they practiced swimming during the week. he recorded his data in…
charles asked his teammates how many hours they practiced swimming during the week. he recorded his data in the table below and used the shaded columns to calculate three sample means. what is the range of the values for the sample means?\nhours of swim practice\n4 5 3 6 3\n8 3 5 4 7\n6 2 4 5 3\n5 2 3 4 6\n1\n2\n3.75\n4.75
Answer
Explanation:
Step1: Calculate first sample mean
The first - shaded column has values 3, 5, 4, 3. Mean = $\frac{3 + 5+4 + 3}{4}=\frac{15}{4}=3.75$.
Step2: Calculate second sample mean
The second - shaded column has values 6, 4, 5, 4. Mean = $\frac{6 + 4+5 + 4}{4}=\frac{19}{4}=4.75$.
Step3: Calculate third sample mean
The third - shaded column has values 3, 7, 3, 6. Mean = $\frac{3 + 7+3 + 6}{4}=\frac{19}{4}=4.75$.
Step4: Calculate the range
The sample means are 3.75, 4.75, 4.75. Range = Maximum value - Minimum value. Maximum value = 4.75, Minimum value = 3.75. Range = $4.75−3.75 = 1$.
Answer:
1