Statıstıcs I Deneme Sınavı Sorusu #803998

Which of the following statements is true according to the box-plot given below?


The median is 4 cigarettes.

The interquartile range is 2 cigarettes.

The shape of the distribution is right-skewed.

The values greater than 4 are the outliers.

50% of the workers consume less than 4 cigarettes.


Yanıt Açıklaması:

The median is 2 cigarettes. This means that 50% of the workers consume less than 2 cigarettes, and 50% of the workers consume more than 2 cigarettes. The 25th and 75th percentiles are 1 and 4 cigarettes, respectively. This means that 25% of the workers consume is either less than or equal to 1 cigarettes and 75% of the workers consume leither 4 or fewer than 4 cigarettes a day. The interquartile range is 4-1=3 cigarettes. This means that 50% of the workers consume 3 cigarettes. The highest and the lowest values within the upper and the lower boundaries for outliers are 8 and 0, respectively. There are outliers in the data. The values greater than 8 are the outliers. The shape of the distribution is right skewed, because the median line is closer to the 25th percentile and also the whisker over the 75th percentile is longer than the other whisker.The correct answer is C.

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