In a set of $50$ observations, what is the median ?
- AValue of $25\ th$ observation
- BValue of $26\ th$ observation
- ✓Value of $25.5\ th$ observation
- DValue of $26.5\ th$ observation
Answer: C.
View full solution →Question types
Measures of central tendency question types
254 questions across 6 question groups — pick any mix to generate a Statistics paper with step-by-step answer keys.
254
Questions
6
Question groups
5
Question types
01
MCQ
49 Q→021 Marks Each
79 Q→032 Mark Each
48 Q→043 Marks Each
34 Q→054 Marks Each
19 Q→065 Mark Each
25 Q→Sample Questions
Measures of central tendency questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
What is the mode of observations $7, 9, 9, 1, 7, 9, 4, 9, 1 ?$
- A$1$
- B$4$
- C$7$
- ✓$9$
Answer: D.
View full solution →If $\sum (x – 9) = 0$ for data having $5$ observations, then what is the value of mean ?
- A$x̄ = 0$
- B$x̄ = 5$
- ✓$x̄ = 9$
- D$x̄ = 45$
Answer: C.
View full solution →If the mean of $10$ observations is $15$, what is the sum of observations ?
- A$25$
- ✓$150$
- C$5$
- D$1.5$
Answer: B.
View full solution →Which of the following results is true for the data that are evenly distributed around average ?
- ✓$x̄ = M = M0$
- B$x̄ \> M\ >\ M0$
- C$x̄\ <\ M\ <\ M0$
- D$x̄\ <\ M\ >\ M0$
Answer: A.
View full solution →The number of trips made by $24$ taxi drivers in a day are shown in the following data. Find the modal number of trips.
View full solution →$TV$ sets assembled by a $TV$ manufacturing company in a month are tested. The following table shows the numbers of defects per $TV$ set. Find the mode for the number of defects.
View full solution →The numbers of books purchased by each of the $15$ persons from a book store are as follows.
$1, 0, 2, 2, 3, 4, 2, 7, 2, 2,5, 4,2,1, 2.$
Find the modal value for the number of books purchased.
View full solution →$1, 0, 2, 2, 3, 4, 2, 7, 2, 2,5, 4,2,1, 2.$
Find the modal value for the number of books purchased.
Find the arithmetic mean and geometric mean of two numbers $9$ and $16$ and verify that $\bar{x}>G$
View full solution →The geometric mean of two numbers is $2$. If one number is $4$ times the other number, find the numbers.
View full solution →The following table shows the number of children per family in a certain area. Find the mean number of children per family.
The number of cold drink bottles sold by a shopkeeper on different days is shown in the following table. Find the mode for the number of cold drink bottles sold.
The following table gives output of workers in a factory. Find the modal output.
The following table shows the record of absent students of class during a month. Find the median of number of absent days per student.
The rainfall (in mm.) at $10$ different places of a district was recorded as :
$126, 110, 91, 115, 112, 80, 101, 93, 97, 113$
Find mean rainfall.
View full solution →$126, 110, 91, 115, 112, 80, 101, 93, 97, 113$
Find mean rainfall.
The following data represent monthly income (in ?) of workers in a factory. Find their mean income.
The price of an item changes from shop to shop. The following data are available. Find the mean price.
The time (in minutes) taken by a bus to travel between two towns on different days is shown in the following table.
Find the mean travel time.
Find the mean travel time.
$(1)$ The mean of a variable $x$ is $25$ . Find the mean of the variable obtained by first subtracting $3$ from $x$ and then dividing it by $2$ .
$(2)$ The relation between price $(p)$ of an item and its demand $(d)$ is $d=50-2 p$. If the median of price is $₹ 11$, find the mean of demand.
$(3)$ The mode of salaries of employees of a company is $₹ 8500$. The company has decided to deduct $2 \%$ of each employee's salary for welfare fund. Find the mode for the amount of this fund.
View full solution →$(2)$ The relation between price $(p)$ of an item and its demand $(d)$ is $d=50-2 p$. If the median of price is $₹ 11$, find the mean of demand.
$(3)$ The mode of salaries of employees of a company is $₹ 8500$. The company has decided to deduct $2 \%$ of each employee's salary for welfare fund. Find the mode for the amount of this fund.
The number of patients arriving at a clinic each hour during working hours of a day are recorded as follows.
$3, 5, 4, 2, 7, 8$
Find the mode for number of patients.
View full solution →$3, 5, 4, 2, 7, 8$
Find the mode for number of patients.
The distribution of annual sales tax of different companies in a zone is given below. Find the mean sales tax of these companies :
The data about weight (in grams) of mangoes from a tree are as follows. Moreover, the minimum weight for these mangoes is $410$ grams. Find the mean weight of mangoes.
View full solution →The following table shows the number of visits to the dentist of the persons having toothache. Find the mode for number of visits.
The level of air pollution (in $ppm$) in a city on different days is as follows. Find the median level of pollution.
View full solution →The data about monthly expenditure on petrol for $75$ families is given in the following table. Find median expenditure on petrol for these families.
View full solution →The distribution of the share prices of a company on different days is given in the following table. Find the mode for the share prices using the graphical method.
The time between placing an order and its delivery was noted for a certain wholesaler as follows. Find the mode for this time.
The following table shows data about monthly travelling expenses (in $f$) in a sample of $50$ local bus commuters.
$(1)$ Find the limits for the expense of central $50\%$ of the commuters.
$(2)$ Find the minimum expense of the highest spending $15\%$ commuters.
$(3)$ Find the maximum expense in the lowest spending $10\%$ commuters.
View full solution →$(1)$ Find the limits for the expense of central $50\%$ of the commuters.
$(2)$ Find the minimum expense of the highest spending $15\%$ commuters.
$(3)$ Find the maximum expense in the lowest spending $10\%$ commuters.
We have the following information from a survey of $100$ customers of a bank on their number of visits to the bank during a month.
Find the first quartile, $4^{\text {th }}$ decile and $95^{\text {th }}$ percentile.
View full solution →Find the first quartile, $4^{\text {th }}$ decile and $95^{\text {th }}$ percentile.
The following data refer to the milk quantity in $90$ bags filled by a machine in a dairy.
Find $Q_{3}, D_{2}, P_{55}$ and interpret them.
View full solution →Find $Q_{3}, D_{2}, P_{55}$ and interpret them.
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