The dot plots of heights of another section of Grade 5 students of the same school. Class 7

The dot plots of heights of another section of Grade 5 students of the same school. Class 7

Question 1.

The dot plots of heights of another section of Grade 5 students of the same school are shown below. Can you share your observations? Class 7

What can we infer from the dot plots and the central tendency measures?

Compare the heights of the two sections. Share your observations.

Solution:

Data for section I:

Boys: 147, 135, 130, 154, 128, 135,-134, 158, 155, 146, 146, 142, 140, 141, 144, 145, 150

Girls: 143, 136, 150, 144, 154, 140, 145, 148, 156, 150, 150

Mean and median of this section are given.

Analysis: The mean and median heights of section II are each less than the mean and median heights of students of section I.

In the case of boys, mean of the two sections is nearly the same but median height of section II is less than the section I.

In the case of girls, mean and median of heights of section II are very less in comparison to those of section I.

Question 2.

The weights of some sumo wrestlers and ballet dancers are : Class 7

Sumo wrestlers : 295.2 kg, 250.7 kg, 234.1 kg, 221.0 kg, 200.9 kg.

Ballet dancers : 40.3 kg, 37.6 kg, 38.8 kg, 45.5 kg, 44.1 kg, 48.2 kg.

Approximately how many times heavier is a sumo wrestler compared to a ballet dancer?

Solution:

[latex]\frac {240}{40}[/latex]6 times (approx.)

Because mean weight of sumo wrestlers = [latex]\frac {1201}{5}[/latex] = 240 kg.

and mean weight of sumo wrestlers = [latex]\frac {240.2}{6}[/latex] = 40 kg