Representing data

In a 1st-year ESO class, a survey was carried out on the students' favourite video game genre. Look at the following bar chart and answer the questions:

1. a) Which video game genre do students like the most (the mode)?
2. b) How many students prefer adventure games?
3. c) If we sum all the responses, how many students took part in the survey?

You can do it on paper and send a photo with your answer.

A group of friends wants to organise a trip and has asked $40$ classmates about their preferred destination. The results are shown in the following table:

To represent these data in a pie chart, calculate the angle corresponding to each sector. Remember that the total sum of the angles must be $360^\circ$.

A group of friends noted down how many pieces of fruit they eat per week. They represented the data in this pictogram, where each fruit symbol 🍎 represents $3$ pieces of fruit eaten.

1. a) How many pieces of fruit did Ana eat in total?
2. b) Who ate exactly $6$ pieces of fruit?
3. c) How many more pieces of fruit than Luis did Sara eat?

The following pie chart represents how the $40$ students in a year group travel to school. Given that half of the class walks, a quarter goes by bus and the rest goes by car:

1. a) How many students walk to school?
2. b) How many students go by bus?
3. c) What angle in degrees corresponds to the sector of students who walk? (Remember that a full circle is $360^\circ$).

In a 1st-year ESO class, a vote has been held to choose the theme of the end-of-year party. The results were as follows: Superheroes ($8$ votes), Space ($6$ votes), Mystery ($10$ votes) and Sports ($4$ votes).

Calculate the relative frequency of each option (as a fraction and as a decimal number) and represent the number of votes for each theme in a bar chart. Make sure the vertical axis is properly scaled and labeled.

You can do it on paper and send a photo with your answer.

In a survey conducted among the $120$ students of 1st ESO about their favourite streaming platform, the following results were obtained: $40\%$ prefer Netflix, $30$ students choose Disney+, the relative frequency of HBO is $0,15$ and the rest opt for Twitch.

Calculate the absolute frequency of each category and draw a pie chart. To do this, you must indicate the exact angle in degrees for each sector using the formula: $Ángulo = \frac{f_i}{N} \cdot 360^\circ$.

Ximena asked her $20$ teammates what their favourite trainer colour was. The results were:

Red, Blue, Blue, White, Red, White, White, Blue, Red, White, Blue, Blue, White, Red, White, White, Blue, White, Blue, White.

1. a) Organise these data into a frequency table including the colour and the absolute frequency ($f_i$).
2. b) What is the mode of this study?
3. c) Draw a simple bar chart in your exercise book to represent these results.

You can do it on paper and send a photo with your answer.

At the school library they want to visualize how many books have been lent out each day of the week. They have decided to use a pictogram where each "book" symbol represents $5$ loans.

Draw the corresponding pictogram in your notebook using a simple symbol to represent the books. Calculate how many symbols you need for each day.

You can do it on paper and send a photo with your answer.

A study has been carried out on the number of siblings of the students in a class. The relative frequency bar chart shows that:

• $20\%$ have no siblings.

• $50\%$ have 1 sibling.

• $25\%$ have 2 siblings.

• The rest have 3 siblings.

If there are $40$ students in the class in total, build the absolute frequency table and draw the absolute frequency bar chart. What height would the "1 sibling" bar reach on the absolute frequency chart?

You can do it on paper and send a photo with your answer.