Question 1
The ages of 60 children in a class are given in the frequency distribution table below. From this, find their mean age.

Options
15 years
13.6 years
13 years
14.5 years
Complete guide to "Statistics and Data Handling" for Math students. Below you will find important questions and model answers to help you prepare.
We are building a dedicated quiz for this topic, but you can test your skills on a similar concept: Geometry (Angles, Circles, and 3D Nets) - Scholarship-VIII Practice Set 1.
The ages of 60 children in a class are given in the frequency distribution table below. From this, find their mean age.

15 years
13.6 years
13 years
14.5 years
The weight of 20 students from a class is given in the frequency table. Find the mean of their weights. (Select two correct alternatives)
20 kg 50 gm
20.5 kg
20.05 kg
20 kg 500 gm

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.
Find the total number of trees planted by the farmer.
1120
1020
1220
1040
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.
Find the number of trees bearing multi-seed fruits.
896
504
208
616
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.