The bar graph shows the result of a grammar quiz in a language arts class. What is the difference between the mean and median of the quiz scores? Round your answer to the nearest hundredth.

Answer

B

Explanation

Difficult: Medium
Category: Problem Solving and Data Analysis/ Statistics and Probability.
Strategic Advice: Knowing basic statistics definitions is the key to answering a question like this. The calculations aren't difficult- you just have to know how to perform them .
Getting to the Answer: When data values are arranged from least to greatest, the median is value in the middle. Add the bar heights to find that there are 5 students represented in the bar graph, which is an event number, so take the average of the two middle values to get the median. Half of 52 is 26, so the values in the these values are the 26th and 27th value. Both of these values are 6, so the median is 6. To find the mean, add all the quiz scores together and divide by the number of students 52. To need up the calculations, multiply each bar height by the corresponding score (metally if possible):
`[(1times1)+(3times3)+(5times4)+(8times5)+(10times6)+(11times7)+(8times8)+(4times9)+(2times10)]"/"52=(327)/(52)=6.2885`.
Rounded to the nearest hundredth, the difference between the median and the mean is `6.29-6=0.29`. Grib this in as. 29.