Question

The following numbers are arranged in ascending order
2,3, x, y,7,9,12,14. If their median is 6 and mean 7, then find the values of 'x' and 'y'.

Answer 1

Answer:

x = 4,. y = 5

Step-by-step explanation:

2, 3, x, y, 7, 9, 12, 14

median = 6

the number of terms are odd therefore the average of two middle terms y and 7 is 6

$\frac{y + 7}{2} = 6 \\ y + 7 = 6 \times 2 \\ y + 7 = 12 \\ y = 12 - 7 \\ y = 5$

mean of the data is 7

2, 3, x, 5, 7, 9, 12, 14

mean = sum of the observation / number of observations = 7

$\frac{2 + 3 + x + 5 + 7 + 9 + 12 + 14}{8} = 7 \\ \frac{52 + x}{8} = 7 \\ 52 + x = 7 \times 8 \\ x = 56 - 52 \\ x = 4$

x = 4

Hope you get your answer