quiz scores\nwhich interval does the median test score fall within?

quiz scores\nwhich interval does the median test score fall within?

quiz scores\nwhich interval does the median test score fall within?

Answer

Explanation:

Step1: Calculate total number of students

$1 + 1+7 + 4+6 + 1=20$

Step2: Determine position of median

Since $n = 20$ (even), the median is the average of the $\frac{n}{2}=10$th and $(\frac{n}{2}+ 1)=11$th ordered - data values.

Step3: Find cumulative frequencies

For the interval $40 - 49$, frequency $f_1 = 1$, cumulative frequency $CF_1=1$. For the interval $50 - 59$, frequency $f_2 = 1$, cumulative frequency $CF_2=1 + 1=2$. For the interval $60 - 69$, frequency $f_3 = 7$, cumulative frequency $CF_3=2 + 7=9$. For the interval $70 - 79$, frequency $f_4 = 4$, cumulative frequency $CF_4=9 + 4=13$. The 10th and 11th values fall within the $70 - 79$ interval.

Answer:

$70 - 79$