2.From the following data. Calculate Mean, Medium and Mode.Class. Frequency10 - 15. 815 – 20 14 20 - 25 1825 - 30 2530 - 35. 15 35 - 40. 1440 - 45. 6 Related: Properties of Determinants - Matrices and Determinants, Business Mathematics & Statistics?

Question

2.From the following data. Calculate Mean, Medium and Mode.Class. Frequency10 - 15.  815 – 20  14 20 - 25  1825 - 30   25​30 - 35.  15 35 - 40.  1440 - 45.  6​ Related:  Properties of Determinants - Matrices and Determinants, Business Mathematics & Statistics?

Answer

Answer

To calculate mean, we need to find the sum of all values multiplied by their frequencies and divide the result by the total frequency:

Mean = (10*8 + 15*14 + 20*18 + 25*25 + 30*15 + 35*14 + 40*6 + 45*4) / 100 = 24.7

To find the median, we need to arrange the data in ascending order and find the middle value. Since we have an even number of observations, we take the average of the two middle values:

Arranged data: 10, 10, 10, 10, 10, 10, 10, 10, 15, 15, 15, 15, 15, 15, 15, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 25, 25, 25, 25, 25, 30, 30, 30, 30, 30, 35, 35, 35, 35, 35, 35, 40, 40, 40, 40, 40, 40, 45, 45, 45, 45

Median = (25 + 25) / 2 = 25

To find the mode, we need to identify the value(s) that occur(s) most frequently:

Mode = 20

Therefore, the mean is 24.7, the median is 25, and the mode is 20.

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