The figure below is a histogram of the number of servings of fruit per day claim

Question

The figure below is a histogram of the number of servings of fruit per day claimed by 74 seventeen-year-old girls. (a) With a little care, you can find the median and quartiles from the histogram. What are these numbers? (Enter your answers to one decimal place.) median servings Q_1 servings O_3 servings (b) You can also find the mean number of servings of fruit claimed per day from the histogram. First use the information in the histogram to compute the sum of the 74 observations. servings Use the sum to compute the mean. servings

Explanation / Answer

here from above information

median =(n+1)/2 the value =(74+1)/2 th value =37.5 th value which lies at x=2 servingd

Q1 =(n+1)/4 th value =18.75 th value ; which lies at x=1 servings

Q3= (n+1)*3/4 th value ; lies at x=4 servings

b)sum =181

c) mean =181/74=2.45 servings

x frequency f fx 0 15 0 1 12 12 2 15 30 3 12 36 4 9 36 5 5 25 6 2 12 7 2 14 8 2 16 74 181

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