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…

survey question: calculate the mean: put the data in order from least to greatest. 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,6,6,7,7,7,8,8,8,8,9,10,10,10,10,10,15,16,17,31,500000. total: number of data points: mean: 5 - number summary: minimum: 0 lower quartile: 0 median: 2.5 upper quartile: 6.5 maximum: 500000 inter - quartile range (iqr): 6.5 standard deviation: *calculate with desmos. mode:
Answer
Explanation:
Step1: Count data - points
Count the number of elements in the data - set. There are 50 data points.
Step2: Calculate the sum
Sum all the data points. $0\times25 + 1\times4+2\times10 + 3\times6+4\times6+5\times5+6\times2+7\times3+8\times4+9\times1+10\times5+15\times1+16\times1+17\times1+31\times1+500000\times1$ $=0 + 4+20+18+24+25+12+21+32+9+50+15+16+17+31+500000$ $=501104$
Step3: Calculate the mean
The mean $\bar{x}=\frac{\text{Sum of data points}}{\text{Number of data points}}$. So, $\bar{x}=\frac{501104}{50}=10022.08$
Answer:
$10022.08$