Question

Calculate the mean, median, and mode for each of the following populations of numbers: (Round your mean and median value to 1 decimal place.) (a) 30, 12, 15, 14, 15, 24, 13, 18, 15, 27 (b) 511, 503, 505, 505, 515, 491, 514

Answer 1

See solutions below

Explanation:

For the set of datas

30, 12, 15, 14, 15, 24, 13, 18, 15, 27

Mean = 30+12+15+14+15+24+13+18+15+27/10

Mean = 183/10

Mean = 18.3

Median is the number at the middle after rearrangement

12,13,14,15,(15,15),18,24,27,30

Median = 15+15/2

Median = 30/2

Median = 15

Mode the value that occurs the most. According to the data since the number that occurs the most is 15, hence the mode is 15

b) For the set of datas

511, 503, 505, 505, 515, 491, 514

Mean = 511+503+505+505+515+491+514/7

Mean = 3,544/7

Mean = 506.3

Median is the number at the middle after rearrangement

491, 503, 505, (505), 511, 514, 515

Hence the median value is 505

Mode the value that occurs the most. According to the data since the number that occurs the most is 505, hence the mode is 505