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## NCERT Solutions for Class 10 Maths Chapter 14 Exercise 14.1

### Class 10 Maths – Statistics

#### Important Questions with answers

- What is the mean of first 12 prime numbers? [Answer: 16.4]
- The mean of 20 numbers is 18. If 2 is added to each number, what is the new mean? [Answer: 20]
- The mean of 5 observations 3, 5, 7, x and 11 is 7, find the value of x. [Answer: 9]
- What is the median of first 10 natural numbers? [Answer: 3]
- What is the value of x, if the median of the following data is 27.5? 24, 25, 26, x + 2, x + 3, 30, 33, 37. [Answer: x = 25]
- What is the mode of the observations 5, 7, 8, 5, 7, 6, 9, 5, 10 and 6? [Answer: 5]
- Write the relation between mean, median and mode. [Answer: Mode = 3 Median – 2 Mean]
- What measure of the central tendency is represented by the abscissa of the point where ‘less than’ and ‘more than’ ogive intersect? [Answer: Median]
- Which measure of the central tendency cannot be determined graphically? [Answer: Mean]
- The arithmetic mean and mode of a data are 24 and 12 respectively. Find the median. [Answer: Median = 20]
- Write the class mark of the class 19.5 – 29.5. [Answer: 24.5]
- The mean of 5 numbers is 18. If one number is excluded then their mean is 16. Find the excluded number. [Answer: 26]
- The mean of 11 observations is 50. If the mean of first six observations is 49 and that of last six observations is 52, then find sixth observation. [Answer: 56]
- Find the mean of following distribution.
- x 12 16 20 24 28 32
- F 5 7 8 5 3 2 [Answer: 20]

- Find the median of the following distribution
- x 10 12 14 16 18 20
- F 3 5 6 4 4 3 [Answer: 14]

- Find the mode of the following frequency distribution.
- Class 0-5 5-10 10-15 15-20 20-25 25-30
- Frequency 2 7 18 10 8 5 [Answer: 12.89]

- Draw a ‘less than’ ogive of the following data

Marks No. of Students

Less than 20 0

Less than 30 4

Less than 40 16

Less than 50 30

Less than 60 46

Less than 70 66

Less than 80 82

Less than 90 92

Less than 100 100