Students can Download Class 10 Maths Chapter 13 Statistics Ex 13.4 Questions and Answers, Notes Pdf, KSEEB Solutions for Class 10 Maths helps you to revise the complete Karnataka State Board Syllabus and to clear all their doubts, score well in final exams.

## Karnataka State Syllabus Class 10 Maths Chapter 13 Statistics Ex 13.4

Question 1.

The following distribution gives the daily income of 50 workers of a factory.

Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

Answer:

Frequency distribution for less than type

Above curve shows less than ogive.

Question 2.

During the medical check-up of 35 students of a class, their weights were recorded as follows:

Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula.

Answer:

The given table shows the less than type of frequency distribution table.

Upper limits of the respective class – intervals are 38, 40, 42, 44, 46, 48, 50 and 52.

Median weight from the graph

Locate 17.5 on the y-axis from this point, draw a line parallel to the x-axis cutting the curve at a point P say. From this point P, draw a perpendicular to the x-axis.

∴ Median weight of the given data is 46.5 kg.

Median weight by using formula.

\(\frac{N}{2}=\frac{35}{2}\) = 17.5

Median class = 46 – 48

l = 46, h = 2, f = 14 and cf = 14 .

∴ Median obtained in both cases is the same by graph and formula.

Question 3.

The following table gives the production yield per hectare of wheat of 100 farms of a village.

Change the distribution to a more than type distribution, and draw its ogive.

Answer:

Frequency distribution table for more than type.

The values given above with “more than” i.e 50, 55, 60, 65, 70, and 75 are lower limits.