A 24-f0ot ladder rests against a house near a second story window 20 feet from the ground. Assume that the ladder
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Please find attached the drawing of the histogram of the given data
created with MS Excel.
The statement that is true about the histogram is the option;
- <u>A histogram will show that the </u><u>mean </u><u>time is approximately equal to the </u><u>median </u><u>time of 7.5 minutes</u>.
Reasons:
The given data sorted in increasing order are presented as follows;
- 5.5, 5.5, 6, 6, 6.5, 7, 7, 7.5, 7.5, 8, 8, 8.5, 9, 9.5, 10
From the data given above, we have;
The number of data points, n = 15
The median, Q₂ = (n + 1)÷ 2th data point = The 8th term = 7.5
The mean = 7.433
- The information displayed on a histogram is the way a continuous data is shaped and the way the data is spread.
The data points in 1 minute increments are presented as follows;
5.5 to 6.5 = 5 data points
6.5 to 7.5 = 4 data points
7.5 to 8.5 = 3 data points
8.5 to 9.5 = 2 data points
9.5 to 10.5 = 1 data point
Therefore, most of the data are between 5.5 to 8.5, with one-third of the data being within the class 5.5 to 6.5 range.
Therefore, <em>the histogram is right skewed</em>.
The median is given by the value at which the graph is shared into equal halves.
- The median = 7.5
The mean is given by the sum of the values divided by the number of values.
- The mean = 7.433
Therefore, the statement that is true about the histogram is; <u>A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes</u>.
Learn more about histograms here:
