To calculate the statistical measurements for the data set {2, 3, 3, 4, 5, 5, 7, 11, 12, 13, 14}, we first need to find the following:
Mean: (2+3+3+4+5+5+7+11+12+13+14) / 11 = 7.818
Median: since the data set has 11 values, the median is the middle value when the data set is ordered from smallest to largest. In this case, the median is 5.
Q1 (lower quartile): The lower quartile is the median of the lower half of the data set. For this data set, the lower quartile is 3.
Q3 (upper quartile): The upper quartile is the median of the upper half of the data set. For this data set, the upper quartile is 11.
Minimum: The smallest value in the data set is 2.
Maximum: The largest value in the data set is 14.
Box and Whisker Plot:
The box and whisker plot for the data set {2, 3, 3, 4, 5, 5, 7, 11, 12, 13, 14} can be constructed with the following components:
- Minimum: Minimum is 2
- Q1 (lower quartile): Q1 is 3
- Median: Median is 5
- Q3 (upper quartile): Q3 is 11
- Maximum: Maximum is 14
The box will span from Q1 to Q3 (3 to 11). The line inside the box represents the median (5). The "whiskers" will extend from the minimum to the lower quartile (2 to 3) and from the upper quartile to the maximum (11 to 14).
I hope this helps! Let me know if you have any further questions.
Answear the statical measurements and create a box and whiskers plot for following set of data 2,3,3,4,5,5,7,11,12,13,14
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