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**NCERT solutions for Class 9 Maths ****Statistics ****Download as PDF**

## NCERT Solutions for Class 9 Mathematics Statistics

**1. The blood groups of 30 students of a class VIII are recorded as follows:**

**A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O, A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O**

**Represent this data in the form of a frequency distribution table. Which is the most common and which is the rarest blood group among these students?**

**Ans. **The frequency distribution table for the given data is as follows:

From the table we observe that most common blood groups is O and the rarest group is AB.

**2. Distance (in km) of 40 engineers from their place of residence to their place of work were found as follows:**

**Construct a grouped frequency distribution table with class size 5 for the data given above taking the first interval as 0 – 5 (5 not included). What main features do you observe from this tabular representation?**

**Ans. **The grouped frequency distribution table for the given data is as follows:

From the table we observe that out of 40 female engineers 36 (5 +11 + 11 + 9) engineers i.e. 90% of the total female engineers reside less than 20 km from their place of work.

**3. The relative humidity (in %) of a certain city for a month of 30 days was as follows:**

**(i) Construct a grouped frequency distribution table with classes 84 – 86, 86 – 88 etc.**

**(ii) Which month or season do you think this data is about?**

**(iii) What is the range of this data?**

**Ans. (i)** The grouped frequency distribution table for the given data is as follows:

**(ii)** From the data we observe that relative humidity is high. So data appears to be taken in the rainy season.

**(iii)** From the data, we observe that

Highest relative humidity = 99.2%

Lowest relative humidity = 84.9%

Range = (99.2 – 84.9)% = 14.3%

NCERT Solutions for Class 9 Maths Exercise 14.2

**4. The heights of 50 students, measured to the nearest centimeters have been found to be as follows:**

**(i) Represent the data given above by a grouped frequency distribution table, taking the class – intervals as 160 – 165, 165 – 170 etc.**

**(ii) What can you conclude about their heights from the table?**

**Ans. (i)** The grouped frequency distribution table for the given data is as follows:

**(ii)** From the frequency distribution table drawn above, we conclude that more than 50% of the students are shorter than 165 cm.

NCERT Solutions for Class 9 Maths Exercise 14.2

**5. A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows:**

**(i) Make a grouped frequency distribution table for this data with class intervals as 0.01 – 0.04, 0.04 – 0.08 and so on.**

**(ii) For how many days, was the concentration of sulphur dioxide more than 0.11 parts per million.**

**Ans. (i)** The grouped frequency distribution table for the given data is as follows:

**(ii)** From the above frequency distribution we observe that the concentration of Sulphur dioxide was more than 0.11 ppm for 8 days.

NCERT Solutions for Class 9 Maths Exercise 14.2

**6. Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:**

**Prepare a frequency distribution for the data given above.**

**Ans. (i)** The grouped frequency distribution table for the given data is as follows:

NCERT Solutions for Class 9 Maths Exercise 14.2

**7. The value of **** up to 50 decimal places is given below:**

**(a) Make a frequency distribution of the digits after the decimal point list the digits from 0 to 9 in your first column.**

**(b) What are the most and the least frequency occurring digits?**

**Ans. (a)** The value of up to 50 decimal places is given as table:

The frequency distribution table of the digits after the decimal point in the value of is as follows:

**(b)** Maximum frequency is 8.

Hence 3 is the most frequently occurring digit.

Least frequency is 2.

Hence 0 is the least occurring digit.

NCERT Solutions for Class 9 Maths Exercise 14.2

**8. Thirty children were asked about the number of hours they watched TV programmers in the previous week. The results were found as follows:**

**(i) Make a frequency distribution table for this data, taking class width 5 and one of the class interval 5 – 10.**

**(ii) How many children watched television for 15 or more hours a week?**

**Ans. (i)** Frequency distribution table for the given data is as follows:

**(ii)** From the frequency table we observe that number of children in the class interval 15 – 20 is 2.

So 2 children view television for 15 hours or more than 15 hours a week.

NCERT Solutions for Class 9 Maths Exercise 14.2

**9. A company manufactures car-batteries of particular type. The live (in years) of 40 such batteries were recorded as follows:**

**Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the interval 2 – 2.5.**

**Ans. ** Grouped frequency distribution table for the given data is as follows:

## NCERT Solutions for Class 9 Maths Exercise 14.2

NCERT Solutions for Class 9 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 9 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 9 Maths have total 15 chapters. 9 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 9 solutions PDF and Maths ncert class 9 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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