Question

survey question: calculate the mean: put the data in order from least to greatest. 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,6,6,7,7,7,8,8,8,8,9,10,10,10,10,10,15,16,17,31,500000. total: number of data points: mean:

Explanation:

Step1: Calculate the sum of all data points

$0\times22 + 1\times4+2\times10 + 3\times6+4\times6+5\times5+6\times2+7\times3+8\times4+9\times1+10\times5+15\times1+16\times1+17\times1+31\times1+500000\times1$
$=0 + 4+20+18+24+25+12+21+32+9+50+15+16+17+31+500000$
$=501014$

Step2: Count the number of data points

$22 + 4+10+6+6+5+2+3+4+1+5+1+1+1+1+1=73$

Step3: Calculate the mean

$\text{Mean}=\frac{501014}{73}\approx6863.21$

Answer:

Approximately $6863.21$