Statistics Class 10 (Question Bank)

 📝 Statistics 

MCQ

Q) In the formula

`\overline x =  a + \frac {\sum f_i d_i}{\sum f_i}`,for finding the mean of grouped data `d_i’s` are deviations from `a` of

(A) lower limits of the classes

(B) upper limits of the classes

(C) midpoints of the classes

(D) frequencies of the class marks

Q) In the formula, `\overline x = a + h × \frac {\sum f_i u_i}{\sum f_i}` , for finding the mean of grouped frequency distribution, `u_i =`

(A)  `\frac {x_i + a}{h}`

(B)  `h (x_i - a)`

(C)  `frac {x_i - a}{h}`

(D)  ` frac {a - x_i}{h}`

Q)   The formula,  `\overline x =  a + \frac {\sum f_i d_i}{\sum f_i}`, can be written as

(A)   `\overline x =  a + \overline d`

(B)   `\overline x =  a + x_i`

(C)  `\overline x =  a + d_i`

(D)   `\overline x =  a + f_ix_i`

Q) The formula, `\overline x = a + h × \frac {\sum f_i u_i}{\sum f_i}`, can be written as

(A)  `\overline x = a + h × f_i`

(B)  `\overline x = a + h  \overline u`

(C) `\overline x = a + h × x_i`

(D)  `\overline x = a + h × f_ix_i`

Q) Which of the following is not a measure of the central tendency?

(A) Mean

(B) Median

(C) Mode

(D) Range

Case Study 1

COVID-19 Pandemic

The COVID-19 pandemic, also known as coronavirus pandemic, is an ongoing pandemic of coronavirus disease caused by the transmission of severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) among humans.

The following tables show the age distribution of cases admitted during a day in two different hospitals

Table 1

Table 2

Refer to Table 1

1. The average age for which maximum cases occurred is

a) 32.24

b) 34.36

c) 36.82

d) 42.24

2. The upper limit of the modal class is

a) 15

b) 25

c) 35

d) 45

3. The mean of the given data is

a) 26.2

b) 32.4

c) 33.5

d) 35.4

Refer to Table 2

4. The mode of the given data is

a) 41.4

b) 48.2

c) 55.3

d) 64.6

5. The median of the given data is

a) 32.7

b) 40.2

c) 42.3

d) 48.6

Case study 2

Electricity energy consumption is the form of energy consumption that uses electric energy. Global electricity consumption continues to increase faster than the world population, leading to an increase in the average amount of electricity consumed per person (per capita electricity consumption).

A survey is conducted for 56 families of Colony A. The following tables give the weekly consumption of electricity of these families.

A similar survey is conducted for 80 families of Colony B and the data is recorded as below:

Refer to data received from Colony A

1. The median weekly consumption is

a) 12 units

b) 16 units

c) 20 units

d) None of these

2. The mean weekly consumption is

a) 19.64 units

b) 22.5 units

c) 26 units

d) None of these

3. The modal class of the above data is I

a) 0-10

b) 10-20

c) 20-30

d) 30-40

Refer to data received from Colony B

4. The modal weekly consumption is

a) 38.2 units

b) 43.6 units

c) 26 units

d) 32 units

5. The mean weekly consumption is

a) 15.65 units

b) 32.8 units

c) 38.75 units

d) 48 units

Q) The distribution below shows the number of wickets taken by bowlers in one-day cricket matches. Find the mean number of wickets by choosing a suitable method.

Q) Calculate the mean of the following data :

Work in progress...