PART - 2 CH - 13 Statistics - Rajasthan Board (RBSE) STD 11 Science MATHS Questions - Vidyadip

Question types

PART - 2 CH - 13 Statistics question types

51 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

51

Questions

6

Question groups

5

Question types

M.C.Q (1 Marks)

True False[1 Marks ]

Fill In The Blanks[1 Marks ]

1 Marks Question

2 Marks Questions

3 Marks Question

Sample Questions

PART - 2 CH - 13 Statistics questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark

If the standard deviation of marks of students of a class is $1.6,$ then the variance of the distribution will be :

A
1.6
B
0.4
✓
2.56
D
$(2.56)^2$

Answer: C.

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Q 2M.C.Q (1 Marks)1 Mark

Mean of variable series $\bar{x}=773$ and mean deviation $64.4,$ then coefficient of mean deviation is :

✓
0.083
B
0.073
C
0.065
D
12.003

Answer: A.

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Q 3M.C.Q (1 Marks)1 Mark

If arithmetic mean of a distribution be $\bar{x},$ then its mean deviation is :

A
$\frac{\sum f_i\left(x_i-\bar{x}\right)}{ N }$
B
$\Sigma f_i\left|x_i-\bar{x}\right|$
✓
$\frac{\Sigma f_i\left|\left(x_i-\bar{x}\right)\right|}{ N }$
D
$\frac{\sum f_i\left|x_i-\bar{x}\right|^2}{N}$

Answer: C.

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Q 4M.C.Q (1 Marks)1 Mark

Marks of five students in statistics are $20,35,25,30$ and $15.$ Find out range :

A
15
✓
20
C
25
D
30

Answer: B.

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Q 5M.C.Q (1 Marks)1 Mark

If a range is divided into classes $5-10,10-15,15-20,$ $20-25,25-30$ and $30-35,$ then the range of the series will be :

A
5
✓
30
C
35
D
10

Answer: B.

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Q 6True False[1 Marks ]1 Mark

Mean deviation can be determined from any measure of central tendency.

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Q 7True False[1 Marks ]1 Mark

The range of a series $=$ Maximum value $-$ Minimum value

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Q 8True False[1 Marks ]1 Mark

Standard deviation is not a measure of dispersion.

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Q 9True False[1 Marks ]1 Mark

Mean, median and mode are three measures of central tendency.

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Q 10Fill In The Blanks[1 Marks ]1 Mark

In series having large variance or scattering. ____________ is not suitable measure of central tendency.

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Q 11Fill In The Blanks[1 Marks ]1 Mark

The mean of the squares of deviations from the mean is called. ____________.

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Q 12Fill In The Blanks[1 Marks ]1 Mark

Data is divided into two types - (i) ____________ (ii) ____________.

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Q 13Fill In The Blanks[1 Marks ]1 Mark

$\text {M.D.} =$ ____________.

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Q 14Fill In The Blanks[1 Marks ]1 Mark

The mean of absolute values of deviations from the constant number is called ____________.

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Q 151 Marks Question1 Mark

Write the formula to find the median for a class frequency distribution.

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Q 161 Marks Question1 Mark

If the standard deviation of a distribution is $15.4$ and the arithmetic mean is $120.2,$ then write its coefficient of variation.

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Q 171 Marks Question1 Mark

Define mean deviation and write its two properties.

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Q 181 Marks Question1 Mark

Write the sum of deviations from arithmetic mean in a distribution.

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Q 191 Marks Question1 Mark

Find the range of the following frequency distribution :

Class	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60
Frequency	6	13	10	5	3

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Q 202 Marks Questions2 Marks

The runs scored by players in $10$ matches are $38, 70, 48, 34, 42, 55, 63, 46, 54, 44.$ Find the variance and standard deviation.

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Q 212 Marks Questions2 Marks

The means of four students are as follows : $25,35,$ $45$ and $55,$ find the mean deviation from the mean.

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Q 222 Marks Questions2 Marks

In a series of $2 n$ observations, half of them equal to $a$ and remaining half equal $-a$. If the standard deviation of the observations is 2, then find the value of $|a|.$

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Q 232 Marks Questions2 Marks

The mean of 150 items is 90 and standard deviation is 6. Find the sum of data items and the sum of squares of the data items.

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Q 242 Marks Questions2 Marks

The weight of $9$ students of a class is given below and its median is $50$. Calculate the mean deviation from the median.

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Q 253 Marks Question3 Marks

Find the mean and standard deviation of the age distribution given in the following table of 542 persons :

Age (In years)	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70	70 - 80	80 - 90
Number of Persons	3	61	132	153	140	51	2

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Q 263 Marks Question3 Marks

The frequency distribution of income of $100$ families is as follows :

Income (in ₹)	0 - 1000	1000 - 2000	2000 - 3000
Number of families	18	26	30
Income (in ₹)	3000 - 4000	4000 - 5000	5000 - 6000
Number of families	12	10	4

Find the standard deviation.

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Q 273 Marks Question3 Marks

Find the mean deviation and standard deviation of the series $a, a+d, a+2 d, \ldots, a+2 n d$ from mean and prove that the variable is greater than the first one.

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Q 283 Marks Question3 Marks

The following data are based on the measurement of collar of a representative group of students of a college :

Mid value (in-inches)	12.0	12.5	13.0	13.5	14.0
Number of students	2	16	36	60	76
Mid value (in-inches)	14.5	15.0	15.5	16.0
Number of students	37	18	3	2

Find the mean and standard deviation of the above data.

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