15 ଟି ସଂଖ୍ୟାର ହାରାହାରି 12 ଅଟେ। ପ୍ରଥମ 8 ଟିର ହାରାହାରି 11 ଏବଂ ଶେଷ 8 ଟିର ହାରାହାରି 14 ଅଟେ। 8ମ ସଂଖ୍ୟାଟି କେତେ?
A20
B18
C22
D24
Answer & Solution
Correct answer: A. 20
1. ସମସ୍ତ 15 ଟି ସଂଖ୍ୟାର ମୋଟ ଯୋଗଫଳ = 15 x 12 = 180।
2. ପ୍ରଥମ 8 ଟିର ମୋଟ ଯୋଗଫଳ = 8 x 11 = 88।
3. ଶେଷ 8 ଟିର ମୋଟ ଯୋଗଫଳ = 8 x 14 = 112।
4. ଏହି ଦୁଇଟି ଗୋଷ୍ଠୀକୁ ଯୋଗ କଲେ 88 + 112 = 200 ମିଳେ, କିନ୍ତୁ ଏହା କେବଳ 15 ଟି ସଂଖ୍ୟା ପାଇଁ 16 ଟି ସ୍ଥାନ ଗଣନା କରେ।
5. 8ମ ସଂଖ୍ୟାଟି ଦୁଇଥର ଗଣନା କରାଯାଇଛି, ତେଣୁ ଏହା 200 - 180 = 20 ସହିତ ସମାନ।
_Source: syllabus Maths, Ch 13 'Statistics', S13.2 Mean of Grouped Data_
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