alleryStart learning →In a perfectly symmetrical distribution, what is true of the mean and the median?
AThey are far apart
BThey are both zero
CThey are both modes
DThey are the same
Answer & Solution
Correct answer: D. They are the same
1. A symmetrical graph looks the same on both sides of a central line.
2. Neither tail is longer, so nothing pulls the mean away from the middle.
3. The mean and the median therefore land on the same value.
4. They need not be zero, since the value depends entirely on the data.
_Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 2.6 Skewness and the Mean, Median, and Mode_
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?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