Question

Calculate the value of lower quartile and upper quartile from the data marks obtained by 10 students in an examination as follows: 11,12,14,18,22,26,30,32,35,41

Answer 1

Answer:

Marks obtained by 10 students in the test:

12, 22, 32, 41, 26, 30, 14, 11, 18, 35

Arranging the marks in ascending order:

11,12,14,18,22,26,30,32,35,41

Since, the number of students are 10, median will be the mean of two middle terms

Median $= mean of 5^{\text {th }} term and 6^{\text {th }}$term

Median $=\frac{22+26}{2}$

Median = 24 marks

Explanation:

Step :1 Sort the values in your data set from lowest to highest.

the median, please. Q2 stands for the second quartile.

Divide the ordered data collection in half at Q2.

The median of the lower half of the data makes up the lower quartile Q1.

The median of the data's upper half represents the upper quartile Q3.

Step:2 A quartile is a statistical concept that divides data into four equal intervals, or quarters. On the number line, it essentially separates the data points into a data set into four quarters. One thing to remember is that data points can be random, so we must first arrange those numbers in ascending order on the number line before dividing them into quartiles. It essentially serves as an extended middle. The data is divided into equal parts by the median and four parts by the quartiles. The four quartiles will be determined once we divide the data.

Step:3 The lowest 25% of data and the highest 75% are essentially separated by the first quartile or lower quartile.

The median and the second quartile are synonymous terms. Numbers are divided into two equal pieces.

The top 25% of data and the lowest 75% are divided by the third quartile, often known as the upper quartile.

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