Statistics Unit Test
6 of 156 of 15 Items
Question
Use the image to answer the question.
An illustration shows a bar graph with four bars extending vertically from the x-axis. The horizontal axis ranges from 10 to 13 in increments of 1 and the vertical axis ranges from 0 to 5 in increments of 1. The bar placed at 10 on the x-axis extends to 2 on the y-axis. The bar placed at 11 on the x-axis extends to 4 on the y-axis. The bar placed at 12 on the x-axis extends to 4 on the y-axis. The bar placed at 13 on the x-axis extends to 2 on the y-axis.
What are the values of the mean, median, and spread for the dataset shown in the bar graph?
(2 points)
The mean =
.
The median =
.
The spread =
.
To find the mean, first calculate the total sum of the values represented by the bars: 2 + 4 + 4 + 2 = 12. Then, divide this sum by the number of bars (4) to find the mean: 12 / 4 = 3.
The median is the middle value when the data is arranged in order. In this case, the data set is {2, 4, 4, 2}. Since there are an even number of values, the median is calculated by finding the average of the two middle values, which are 2 and 4. So, the median is (2 + 4) / 2 = 3.
The spread can be measured using the range, which is the difference between the maximum value and the minimum value. In this case, the maximum value is 4 and the minimum value is 2. So, the spread is 4 - 2 = 2.