Questions & Answers: "Statistics and Data Handling"

Complete guide to "Statistics and Data Handling" for Math students. Below you will find important questions and model answers to help you prepare.

4 Questions

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Question 1

1 Mark

The ages of 60 children in a class are given in the frequency distribution table below. From this, find their mean age.

Diagram for Question 1

Options

Option A

15 years

Option B is correct

13.6 years

Option C

13 years

Option D

14.5 years

Question 2

1 Mark

The weight of 20 students from a class is given in the frequency table. Find the mean of their weights. (Select two correct alternatives)

Options

Option A

20 kg 50 gm

Option B is correct

20.5 kg

Option C

20.05 kg

Option D is correct

20 kg 500 gm

Shared content visual aid

The following pie diagram represents number of fruit plants planted by a farmer. Observe the figure and select the correct alternative to answer the questions.

Question 3

1 Mark

Find the total number of trees planted by the farmer.

Options

Option A is correct

1120

Option B

1020

Option C

1220

Option D

1040

Explanation

From the pie chart, the percentages for Lemon, Mango, Chickoo, and Orange are 15%, 30%, 20%, and 10% respectively. The sum of these percentages is 15% + 30% + 20% + 10% = 75%. The remaining percentage corresponds to Coconut Tree, which is 100% - 75% = 25%. We are given that the number of Coconut Trees is 280. If 25% of the total trees is 280, then the total number of trees (T) can be found by: 0.25 * T = 280 => T = 280 / 0.25 = 280 * 4 = 1120.

Question 4

1 Mark

Find the number of trees bearing multi-seed fruits.

Options

Option A

896

Option B is correct

504

Option C

208

Option D

616

Explanation

First, we need to determine the total number of trees, which was calculated in the previous question (ai-3) as 1120. Next, we identify which of the listed fruits bear multi-seed fruits: Lemon (multi-seed), Mango (single-seed), Coconut (single-seed), Chickoo (multi-seed), Orange (multi-seed). So, the multi-seed fruits are Lemon, Chickoo, and Orange. Their respective percentages are Lemon 15%, Chickoo 20%, and Orange 10%. The total percentage of multi-seed fruits is 15% + 20% + 10% = 45%. The number of trees bearing multi-seed fruits is 45% of the total trees: 0.45 * 1120 = 504.