# Lesson Worksheet: Grouped Frequency Tables: Estimating the Mode Mathematics

In this worksheet, we will practice using grouped frequency tables to identify the modal class and estimating the mode using a histogram.

Q1:

For the given frequency distribution, what is the modal class?

 Class Frequency 0– 10– 20– 30– 40– 50– 6 10 5 12 8 4
• A40–50
• B0–10
• C20–30
• D50–60
• E30–40

Q2:

A clothing factory wants to know the price range at which most customers buy their clothes. Find the modal class for the following data.

 Price Range (\$) Number of Pieces Bought 20– 40– 60– 80– 100– 120 505 604 23 7
• A80–100
• B40–60
• C60–80
• D20–40

Q3:

An agriculturist wants to know the effect of hot weather on plants that grow in cold environments. He places 300 plants in each temperature range and records how many of them die.

 Temperature Range Number of Dead Plants 25– 30– 35– 40– 45– 20 125 135 171 288

What is the modal class temperature in which most plants cannot live?

• A25–30
• B35–40
• C40–45
• D45–50
• E30–35

Q4:

For the given histogram, which of the following is the best estimation of the mode? • A50
• B12
• C30
• D44
• E40

Q5:

The following frequency table shows the range of electricity consumed by houses in a city.

 Electricity Consumption per Month (kWh) Number of Houses 400– 500– 600– 700– 800– 30 100 120 100 20

Using the given histogram, what is the estimated value of the mode? Q6:

The following frequency table shows the range of weights of watermelons produced in a farm and the number of watermelons for each weight range.

 Weight Range (g) Number of Watermelons 500– 1,000– 1,500– 2,000– 2,500– 5 20 25 15 10

Which of the following is the estimated value of the mode for such data? • A15.00
• B1,666.67
• C2,000
• D15.67
• E1,500

Q7:

The table represents the time taken by some people to travel to work.

 Time (𝑡 minutes) Frequency 4.5– 9.5– 14.5– 19.5– 10 15 7 3

Calculate an estimation for the modal number of minutes the people take to travel to work. Write your answer to two decimal places if needed.

Q8:

The table shows some students’ math test scores.

 Score Frequency 0– 11– 22– 33– 44– 2 5 30 10 3

Calculate an estimation for the modal score of the math test. Write your answer to two decimal places.

Q9:

The speeds, in kilometers per hour, of cars driving on a road were recorded in the table below and are represented in the histogram.

 Speed (km/h) Frequency 50≤𝑥<60 60≤𝑥<70 70≤𝑥<80 80≤𝑥<90 90≤𝑥<100 8 15 17 25 7 Which of the following is the best estimation of the modal speed of the cars?

• A83 km/h
• B80 km/h
• C70 km/h
• D90 km/h
• E55 km/h

Q10:

Some seeds are planted and the height of the resulting plants, in cm, are measured after 6 weeks.

 Height (cm) Frequency 1– 7– 13– 19– 25– 15 20 45 47 23

Using the given table, calculate an estimated mode for the height of the plants in cm.

• A10
• B19.5
• C45
• D15
• E47