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The weights (in kg) of 20 boys in a class are given. Prepare a frequency distribution table and find the range of the data.
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8 stepsHere are the solutions to questions 48 to 50.
48. Weights (in kg) of 20 boys in a class are given below:
The given data is:
$48, 46, 50, 44, 50, 48, 44, 50, 42, 48$
$42, 46, 40, 44, 46, 48, 50, 42, 46, 44$
- Prepare a frequency distribution table for the above data.
List the unique weights in ascending order.
The unique weights are $40, 42, 44, 46, 48, 50$.
Count the frequency of each weight.
- : 1
- : 3
- : 5
- : 4
- : 4
- : 3 Total count: , which matches the number of boys.
Here is the frequency distribution table:
Weight (in kg) Frequency 40 1 42 3 44 5 46 4 48 4 50 3 Total 20 - What is the range of the data?
Identify the maximum and minimum values in the data.
Maximum weight
Minimum weightCalculate the range.
The range of the data is .
49. During a rainy season, students of a class made a count of the umbrellas, which students brought to the class on Monday, Tuesday, Wednesday, Thursday, Friday and Saturday. The count was as under:
Monday: 25
Tuesday: 20
Wednesday: 10
Thursday: 20
Friday: 15
Saturday: 30- Represent this information through a pictograph.
Choose a suitable symbol and scale.
The numbers are . All are multiples of 5.
Let's use the symbol ☂️ to represent 5 umbrellas.
Scale: ☂️ umbrellasConvert the counts into symbols.
- Monday: umbrellas ☂️☂️☂️☂️☂️
- Tuesday: umbrellas ☂️☂️☂️☂️
- Wednesday: umbrellas ☂️☂️
- Thursday: umbrellas ☂️☂️☂️☂️
- Friday: umbrellas ☂️☂️☂️
- Saturday: umbrellas ☂️☂️☂️☂️☂️☂️
Here is the pictograph:
Day Number of Umbrellas Monday ☂️☂️☂️☂️☂️ Tuesday ☂️☂️☂️☂️ Wednesday ☂️☂️ Thursday ☂️☂️☂️☂️ Friday ☂️☂️☂️ Saturday ☂️☂️☂️☂️☂️☂️ Scale: ☂️ = 5 umbrellas 50. The following are the details of number of students present in a class of 30 during a week. Represent it by a pictograph.
Days Number of students present Monday 24 Tuesday 26 Wednesday 28 Thursday 30 Friday 29 Saturday 22 - Represent it by a pictograph.
Choose a suitable symbol and scale.
The numbers are . These numbers include odd and even values.
Let's use the symbol 🧍 to represent 2 students. For odd numbers, we will use a half symbol.
Scale: 🧍 students, and 🚹 student (half symbol)Convert the counts into symbols.
- Monday: students 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍
- Tuesday: students 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍
- Wednesday: students 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍
- Thursday: students 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍
- Friday: . So, 14 full symbols and 1 half symbol 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🚹
- Saturday: students 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍
Here is the pictograph:
Day Number of Students Present Monday 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍 Tuesday 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍 Wednesday 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍 Thursday 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍 Friday 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🚹 Saturday 🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍🧍 Scale: 🧍 = 2 students, 🚹 = 1 student
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