Question

here is a fdt for a small data set: data freq 29 1 30 3 31 2 32 3 33 11 find the following measures of central tendency. mean = median = mode = 33 enter an integer or decimal number (more...) midrange =

Explanation:

Step1: Calculate total (data*freq)

$29×1 + 30×3 + 31×2 + 32×3 + 33×11 = 640$

Step2: Total observations (n)

$1+3+2+3+11=20$

Step3: Mean = total/data/n

$\frac{640}{20}=32$

Step4: Find median position (n=20, even)

10th and 11th values; cumulative freq shows both 33

Step5: Median = (33+33)/2

$33$

Step6: Midrange = (min+max)/2

$\frac{29+33}{2}=31$

Answer:

mean = 32
median = 33
mode = 33
midrange = 31