Question

calculating the range of means
student | mean word length
1 | 7.1
2 | 4.5
3 | 6.9
4 | 5.2
5 | 5.0
6 | 4.7
7 | 6.1
8 | 4.5
given this data, what is the range of the average word lengths?
is the variation between sample means large or small?
options: small, large, cannot be determined

Explanation:

Step1: Identify max and min values

Max mean = 7.1, Min mean = 4.5

Step2: Calculate range

Range = Max - Min = $7.1 - 4.5$

Step3: Assess variation magnitude

Range is 2.6, values cluster closely.

Answer:

Range of average word lengths: 2.6
Variation between sample means: small