# Tutor profile: Jinto S.

## Questions

### Subject: Number Theory

The price of a book increases from $2.50 to $2.65 . Calculate the percentage increase.

Percentage increase = (increase in value/ initial value) x 100 Increase in value = 2.65-2.50 = 0.15 Initial value = $ 2.50 So, Percentage increase = (0.15/2.50)100 = 6%

### Subject: Statistics

The test scores of 14 students are shown below. 21,21, 23, 26, 25, 21, 22, 20, 21, 23, 23, 27, 24, 21. Find the mean, median, mode and range of the given data.

Mean = sum of observation / total number of observations = 318/14 = 22.714 Median = middle number when arranged in ascending or descending order ascending order- 21,21,21,21, 22,23,23,23,24,25,26,27 There are two middle numbers - 23 and 23 So,Median is the average of those two numbers. Median = (23+23)/2 = 23 Mode = The most frequent outcome/ the number appears most number of times = 21 Range= Largest value - smallest value = 27-21 = 6

### Subject: Algebra

The equation of a straight line is 2y= 3x+4. Find the gradient of this line.

The equation of the line is 2y = 3x+4 Divide the equation throughout by 2, we get y = 1.5x+2 (1) This equation is of the standard for y = mx+c (2) where m is the gradient. By equating (1) and (2), we get, m = 1.5 Therefore, gradeint = 1.5

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