Home › BAF (Bachelor of Accounting & Finance) › Business Statistics › Descriptive Statistics › A sample holds three 1s, two 2s, one 3 and five …
A sample holds three 1s, two 2s, one 3 and five 4s, eleven values in all. What is the sample mean to one decimal place?
AThe mean is 2.5
BThe mean is 3.0
CThe mean is 2.7
DThe mean is 2.2
Answer & Solution
Correct answer: C. The mean is 2.7
1. Each distinct value is multiplied by its frequency, giving 3 times 1, 2 times 2, 1 times 3 and 5 times 4.
2. Those products are 3, 4, 3 and 20, which add to 30.
3. Dividing 30 by the 11 values gives 2.727, or 2.7 to one decimal place.
4. A mean of 2.5 would follow from averaging the four distinct values and ignoring their frequencies.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.3 Measures of the Center of the Data_
Related questions
The median differs from the mean in that the median does not have to be:Quartiles and percentiles are together described as the common measures of:The median of that set, 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, is:For that same set of ten values, the median is the average of which two ordered values?For the data 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, the most frequent value is:A data set whose values sit closely near the mean will have a standard deviation that is:The variation of data values around the centre is captured by the:A quick graph that shows the exact values while revealing the pattern is a: