Class 8 Practice – Level 3 – Set 2 – Data Handling

Total questions: 15

The heights (in cm) of $10$ students are as follows: $150, 155, 160, 165, 170, 170, 175, 180, 185, 190$. Find the mode of this data.

Topic: Measures of Central Tendency

$170$

$165$

$180$

$175$

None

The probability of an event is $0.4$. What is the probability of the complementary event?

Topic: Probability

$0.6$

$0.4$

$0.8$

$1.4$

None

A survey shows that the average number of books read by $20$ students is $5$. If one more student reads $7$ books, what is the new average?

Topic: Measures of Central Tendency

$5.1$

$5.5$

$5.2$

$6$

None

The following data represents the ages of $15$ employees: $20, 25, 30, 35, 40, 40, 45, 50, 55, 60, 60, 65, 70, 75, 80$. What is the median age?

Topic: Measures of Central Tendency

$50$

$55$

$60$

$45$

None

A die is rolled $3$ times. What is the probability of getting exactly $2$ even numbers?

Topic: Probability

$\dfrac{1}{8}$

$\dfrac{3}{8}$

$\dfrac{1}{6}$

$\dfrac{5}{12}$

None

The class intervals of the distribution are: $0-10, 10-20, 20-30, 30-40$. If the frequency of these intervals are $5, 10, 15, 10$ respectively, what is the class interval with the highest frequency?

Topic: Organizing Data

$0-10$

$10-20$

$20-30$

$30-40$

None

In a group of $100$ students, $30$ students passed in Mathematics, $40$ students passed in Science, and $10$ students passed in both subjects. What is the probability that a student selected at random passed in either Mathematics or Science?

Topic: Probability

$\dfrac{70}{100}$

$\dfrac{60}{100}$

$\dfrac{50}{100}$

$\dfrac{40}{100}$

None

Find the mean of the following data: $10, 12, 14, 16, 18, 20$.

Topic: Measures of Central Tendency

$15$

$16$

$14$

$17$

None

A box contains $8$ red, $10$ blue, and $12$ green balls. If a ball is selected at random, what is the probability that it is not green?

Topic: Probability

$\dfrac{18}{30}$

$\dfrac{2}{5}$

$\dfrac{3}{5}$

$\dfrac{4}{5}$

None

10.

In a set of data, the mean is $45$, the median is $50$, and the mode is $55$. What is the nature of the distribution of this data?

Topic: Measures of Central Tendency

Symmetric

Positively skewed

Negatively skewed

Cannot be determined

None

11.

In a box, there are $3$ red balls, $5$ green balls, and $7$ blue balls. If two balls are drawn randomly without replacement, what is the probability that both are red?

Topic: Probability

$\dfrac{3}{91}$

$\dfrac{1}{14}$

$\dfrac{3}{35}$

None

12.

The following are the marks obtained by a group of students in a test: $50, 60, 70, 80, 90, 100, 110$. What is the median of this data?

Topic: Organizing Data

$70$

$75$

$80$

$85$

None

13.

If the probability of an event occurring is $\dfrac{1}{5}$, what is the probability of the event not occurring?

Topic: Probability

$\dfrac{4}{5}$

$\dfrac{1}{5}$

$\dfrac{3}{5}$

$\dfrac{2}{5}$

None

14.

A die is rolled $4$ times. What is the probability of getting at least $3$ odd numbers?

Topic: Probability

$\dfrac{1}{8}$

$\dfrac{5}{16}$

$\dfrac{3}{8}$

$\dfrac{7}{16}$

None

15.

The average height of $5$ students in a class is $150$ cm. If one more student joins the class with a height of $160$ cm, what will be the new average height?

Topic: Organizing Data

$151$ cm

$152$ cm

$153$ cm

$154$ cm

None

1 out of 15

Time's up

Class 8 Practice – Level 3 – Set 2 – Data Handling

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