Fourteen values in order are 1, 1, 2, 2, 4, 6, 6.8, 7.2, 8, 8.3, 9, 10, 10 and 11.5. What is the median?
AExactly 6.8
BExactly 7.2
CExactly 7
DExactly 6
Answer & Solution
Correct answer: C. Exactly 7
1. There are 14 values, which is an even count, so no single value sits in the middle.
2. For an even count the median is the average of the two middle values.
3. Half of 14 is 7, so the two middle values are the seventh and the eighth.
4. Counting along, the seventh value is 6.8 and the eighth is 7.2.
5. Add them to get 14.0, then divide by two.
6. The median is 7.
7. Answering 6.8 or 7.2 stops at one of the two middle values instead of averaging them.
_Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 2.5 Measures of the Center of the Data_
Keep practising Descriptive Statistics
Browse all Descriptive Statistics questions for CBEST, or explore more Mathematics topics.
Related questions
Key in the summary numbersFill the gaps in the center ruleLine up three of one kindTwenty-nine ages are listed in order. The position for the 70th percentile is 0.70 multiplA data set has a mean of 5 and a standard deviation of 2. Which value sits 1.5 standard deFor a set of values the mean is 6.3, the median is 6.5 and the mode is 7. Which way is theTen letter counts are 4, 5, 6, 6, 6, 7, 7, 7, 7 and 8. What is the mean?For thirteen house prices the first quartile is 308,750 and the third quartile is 649,000.