Statistics Unit Test

5 of 155 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 =
.

1 answer

To find the mean, add up all the values and divide by the number of values:

Mean = (2+4+4+2) / 4 = 12 / 4 = 3

To find the median, arrange the values in ascending order and find the middle number:

In this case, the values in ascending order are: 2, 2, 4, 4

Median = (2+4) / 2 = 6 / 2 = 3

To find the spread, subtract the smallest value from the largest value:

Spread = 4 - 2 = 2

Therefore, the mean is 3, the median is 3, and the spread is 2 for the dataset shown in the bar graph.
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