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The Centers for Disease Control and Prevention (CDC) estimated the percent of in

ID: 3042022 • Letter: T

Question

The Centers for Disease Control and Prevention (CDC) estimated the percent of individuals in each state who are classified as overweight or obese in different years. They calculated the estimates separately for three different age classes, including children (2–4 years old), adolescents (students in grades 9–12), and adults (aged 18 years and older).

The boxplots and fivenumber summaries apply to the data sets of two different age classes. Match the appropriate descriptions to the data sets.

Answer Bank 25% of the values are less than 6.40 the distribution is skewed to the left 20 22 24 26 28 30 32 34 36 Adults who were obese in 2013 (%) the distribution is skewed to the right Min Q1 Median Q3 Max 21.30 26.40 29.40 31.0835.10 25% of the values are more than 18.00 the distribution is close to symmetrical 25% of the values are more than 31.08 25% of values are less than 26.40 6 8 10 12 14 16 18 20 25% of the values are more than 13.50 Adolescents who were obese in 2013 (%) 25% of the values are more than 35.10 Min 01 Median 03 Max 6.40 11.25 12.45 13.5018.00 25% of the values are less than 21.30 25% of values are less than 11.25

Explanation / Answer

Ans:

1)

The distribution skewed to left(As left whisker is longer)

25% of the values are less than 26.4

25% of the values are more than 31.08

2)Q1 is the point below which 25% of the values falls.

As,first quartile,Q1=11.25,which tells us that 25% of the values are less than 11.25

Distribution is close to symmetrical.

25% of the values are more than 13.5(as Q3=13.5,which tellus that 75% data falls below this and 25% above this)