The distribution below has 60 observations and median 28.5. Classes 0–10, 10–20, 20–30, 30–40, 40–50, 50–60 have frequencies 5, x, 20, 15, y, 5. Find x and y.

Question

Accepted Answer

x = 8, y = 7. 45+x+y=60 x+y=15. Median class 20–30 (cf before it = 5 + x): 28.5=20+30-(5+x)/20×10 8.5=25-x/2 x=8, so y = 7.

The distribution below has 60 observations and median 28.5. Classes 0–10, 10–20, 20–30, 30–40, 40–50, 50–60 have frequencies 5, $x, 20, 15, y$ , 5. Find $x$ and $y$ .

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The distribution below has 60 observations and median 28.5. Classes 0–10, 10–20, 20–30, 30–40, 40–50, 50–60 have frequencies 5, x,20,15,y, 5. Find x and y.

Step-by-Step Solution

Master this topic in 30 minutes a day.

More Statistics practice

The distribution below has 60 observations and median 28.5. Classes 0–10, 10–20, 20–30, 30–40, 40–50, 50–60 have frequencies 5, $x, 20, 15, y$ , 5. Find $x$ and $y$ .