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I would like to know if my calculations are correct in this problem

I would like to know if my calculations are correct in this problem-example-1
User Toshkuuu
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7.8k points

1 Answer

3 votes

Mean = add all the values and divide by the number of values:

(535 + 1201 + 2748 + 622 + 1450 + 3459 + 780 + 1773 + 3571 + 835 + 2021 + 4086 + 1020 + 2337 + 4532 ) / 15 =

30970/ 15 = 2064.67

Median = order from least to greatest, and find the middle number

535 - 622 - 780 - 835 - 1020 - 1201 - 1450 - 1773 - 2021 - 2337 - 2748 - 3459 - 3571 - 4086 - 4532

Median = 1773

Standard deviation:

Subtract the mean to each value, and then square it.

calculate the mean of the squared differences.

Take square root.

(535 - 2064.67 )^2 = 2,339,890

(622-2064.67)^2 = 2,081,296

(780 -2064.67)^2 = 1,650,377

(835-2064.67)^2 = 1,512,088

(1020-2064.67)^2 = 1,091,335

(1201-2064.67)^2 = 745,925

(1450 -2064.67)^2 = 377,819

(1773-2064.67)^2 = 85,071.4

(2021-2064.67)^2 = 1,907.06

(2337 -2064.67)^2 = 74,163.62

(2748-2064.67)^2 = 466,939

(3459-2064.67)^2 = 1,944,156.149

(3571-2064.67)^2 = 2,269,030

(4086-2064.67)^2 = 4,085,774

(4532-2064.67)^2 = 6,087,717

Find the mean of those values.

( Sum / 15 ) = 24,813,487/15 = 1,654,232.4

Square root of the result.

√1,654,232.4 = 1286.16

mean = 2064.67

median = 1773

standard deviation = 1286.16

User Abob
by
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