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The students in a class collected data on the number of minutes per day some kids spend brushing their teeth. Their data is shown in the dot plot below. Which statement correctly describes these data? А The median is 0.5 and the mean is less than the median. B The median is 0.5 and the mean is greater than the median. The median is 1.5 and the mean is less than the median. D The median is 1.5 and the mean is greater than the median.

The students in a class collected data on the number of minutes per day some kids-example-1
User Rullof
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2 Answers

4 votes

Answer: D. The medium is 1.5 and the mean is greater than the median

(I had this question before)

User Shaniqua
by
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1 vote

ANSWER

D. The median is 1.5 and the mean is greater than the median

Step-by-step explanation

We have the dot plot given in the diagram.

We have to identify the mean and median of the data to answer the question.

The mean can be calculated by finding the total sum of number of minutes per day and dividing it by the number of data points.

So, we have:


\begin{gathered} \operatorname{mean}\text{ = }\frac{(0.5\cdot\text{ 3) + (1.5 }\cdot\text{ 2) + (2.5 }\cdot\text{ }1)\text{ + (3.5 }\cdot\text{ 2})\text{ + (4 }\cdot\text{1)}}{9} \\ \operatorname{mean}\text{ = }\frac{1.5\text{ + 3 + 2.5 + 7 + 4}}{9} \\ \operatorname{mean}\text{ = }(18)/(9) \\ \operatorname{mean}\text{ = 2} \end{gathered}

There are 9 data points on the dot plot.

The median is the data point that is the middle value of the data set (the 5th data point).

So, counting from left the right, the 5th data point is 1.5

The median is 1.5.

Therefore, the median is 1.5 and the mean is greater than the median.

User Gil Perez
by
7.1k points
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