NCERT Solutions for class 10th Maths Chapter 14 Statistics

Exercise 14.1

Question 1. A survey was conducted by a group of students as a part of their environment awareness programme, in which they collected the following data regarding the number of plants in 20 houses in a locality.Find the mean number of plants per house.

Question 2. Consider the following distribution of daily wages of 50 workers of a factory.

Question 3. The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is 18. Find the missing frequency f.

Question 4. Thirty women were examined in a hospital by a doctor and the number of heartbeats per minute were recorded and summarised as follows. Find the mean heart beats per minute for these women, choosing a suitable method.

Question 5. In a retail market, fruit vendors were selling managers kept in packing boxes. These boxes contained varing numbers of mangoes. The following wae the distribution of mangoes according to the numbers of boxes.

Question 6. The table below shows the daily expenditure on food of 25 households in a locality.

Question 7. To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

Question 8. A class teacher has the following absentee record of 40 students of a class for the whole term. Find the mean number of days a student was absent.

Question 9. The following tables gives the literacy rate(in percentage) of 35 cities. Find the mean literacy rate.

Exercise 14.2

Question 1. The following table shows the ages of the patients admitted in a hospital
during a year:

Question 2. The following data gives information on the observed lifetimes (in hours) of 225 electrical components. Find the mode of the data.

Question 3. The following data gives the distribution of the total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:

Question 4. The following distribution gives the state-wise teacher-student ratio in higher secondary schools of India.Find the mode and mean of this data. Interpret the two measures.

Question 5. The given distribution shows the number of runs scored by some top batsmen of the world in one-day international cricket matches. Find the mode of the data.

Question 6. A student noted the number of cars passing through a spot on a road for 100 periods each of 3 minutes and summarised it in the table given below. Find the mode of the data:

Exercise 14.3

Question 1. The following frequency distribution gives the monthly consumption of electricity of 68 consumers of a locality. Find the median, mean, and mode of the data and compare them

Question 2. If the median of the distribution given below is 28.5, find the values of x and y.

Question 3. A life insurance agent found the following data for the distribution of ages of 100 policyholders. Calculate the median age, if policies are given only to persons having age 18 years onwards but less than 60 year.

Question 4. The lengths of 40 leaves of a plant are measured correctly to the nearest millimeter, and the data obtained is represented in the following table:

Question 5. The following table gives the distribution of the lifetime of 400 neon of lamps.
Find the median lifetime of a lamp.

Question 6. 100 surnames were randomly picked up from a local telephone directory and the frequency distribution of the number of letters in the English alphabets in the surnames was obtained as follows:

Question 7. The distribution below gives the weight of 30 students of a class. Find the median weight of the students:

Exercise 14.4

Question 1. The following distribution gives the daily income of 50 workers of a factory.

Question 2. During the medical check-up of 35 students of a class, their weights were recorded as follows

Question 3. The following tables give the production yield per hectare of wheat of l 00 farms of a village.

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