Answered

1. Make a frequency distribution table for the given data.

2. What is the percentage of women during this time?

The following table shows the weights of 50 people in a locality:

[tex]\[
\begin{tabular}{|c|c|}
\hline
Weight (in kg) & Number of people \\
\hline
$45-50$ & 7 \\
$50-55$ & 9 \\
$55-60$ & 10 \\
$60-65$ & 16 \\
$65-70$ & 8 \\
\hline
\end{tabular}
\][/tex]

3. Represent the above data in the form of a histogram.



Answer :

GinnyAnswer
Certainly! Let's break down the solution step by step.

### Step 1: Create a Frequency Distribution Table

We have the following weight ranges and the number of people in each range:

| Weight (in kg) | Number of People |
|----------------|------------------|
| 45-50 | 7 |
| 50-55 | 9 |
| 55-60 | 10 |
| 60-65 | 16 |
| 65-70 | 8 |

### Step 2: Determine the Total Number of People

From the table, we sum the number of people:

[tex]\[ 7 + 9 + 10 + 16 + 8 = 50 \][/tex]

Hence, the total number of people is 50.

### Step 3: Calculate the Percentage of People in Each Weight Range

Next, we calculate the percentage of people within each weight range:

- For 45-50 kg:
[tex]\[ \left( \frac{7}{50} \right) \times 100\% = 14\% \][/tex]

- For 50-55 kg:
[tex]\[ \left( \frac{9}{50} \right) \times 100\% = 18\% \][/tex]

- For 55-60 kg:
[tex]\[ \left( \frac{10}{50} \right) \times 100\% = 20\% \][/tex]

- For 60-65 kg:
[tex]\[ \left( \frac{16}{50} \right) \times 100\% = 32\% \][/tex]

- For 65-70 kg:
[tex]\[ \left( \frac{8}{50} \right) \times 100\% = 16\% \][/tex]

### Step 4: Represent the Data in the Form of a Histogram

We now represent this data in a histogram format. A histogram is a type of bar graph where the X-axis represents the weight ranges, and the Y-axis represents the number of people.

```
Number of People
^
| ________
| | |
| | |
| | | ________
| | | | |
| ________ | | | |
| | || | ________ | |
| | || || | | |
| | || || || | ________
| | || _______|| || _______|| _______ |
| | ||| || ||| ||| | |
| | _______||| || _______||| ||| | |
| || ||| ||| ||| ||| | |
| || ||| ||| ||| ||| | |
| || ||| ||| ||| ||| | |
+-------------------------------------------------------------> Weight (in kg)
45-50 50-55 55-60 60-65 65-70
```

Each bar represents the number of people in the corresponding weight range. The height of each bar is proportional to the frequency of people within that range.

In conclusion:

1. The frequency distribution table is shown in Step 1.
2. The histogram represents the number of people across different weight ranges as shown in Step 4.

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