A recent study investigated the number of servings of vegetables people were eat

Question

A recent study investigated the number of servings of vegetables people were eating per day. A random sample of 20 Americans yields the following numbers of servings of vegetables in the day prior to the survey: 112403 17022410353 3 04 Use this information to answer the following. a.) The range is 7 servings. How would we interpret that number in context? The range gives the most useful value for measuring the spread of the data The average distance of an observation from the mean is 7 The number of servings separating the largest and smallest number of servings of vegetables is 7. O The largest difference between the mean and any other value is 7. b.) The median is 2 servings. How would we interpret that number in context? The average distance between an observation and the mean is 2. The average number of servings of vegetables per day is 2 The typical number of servings of vegetables per day is 2. The difference between a typical number of servings of vegetables and the average is 2 The difference between the largest and smallest number of servings of vegetables is 2. C) The standard deviation is 1.89. How would we interpret that number in context? The sum of the differences between the number of servings of vegetables and the average number of servings of vegetables is1.89 The average number of servings of vegetables is 1.89. The difference between the largest number of servings of vegetables and the smallest is 1.89. The standard deviation represents finding the deviation for each observation, squaring each deviation, and then adding them up The typical difference between number of servings of vegetables and average number of servings of vegetables is 1.89.

Explanation / Answer

a. Range of the data set is difference between maximum and minimum value

Hence Range value 7 servings means

The number of servings separating the largest and the smallest number of servings of vegetables is 7.

b. Median is a number which tells where the middle of the data set is

Hence Median value 2 servings means

The average number of servings of vegetables per day is 2.

c. Standard deviation tells how measurements for a group are spread out from the average or expected value.

Hence Standard deviation 1.89 servings means

The sum of the differences between the number of servings of vegetables and the average number of servings of vegetables is 1.89

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