The following table shows the distribution of the heights of a group of factory workers - Ht- cm- 150-155 155-160 160-165 165-170 170-175 175-180 180-185- No- of workers 6 12 18 20 13 8 6- -i Determine the cumulative frequencies-ii Draw the -less than- cumulative frequency curve on graph paper- Use 2 cm - 5 cm height on one axis and 2 cm - 10workers on the other-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Civics

National and State Political Parties

The following...

Question

The following table shows the distribution of the heights of a group of factory workers :

$\begin{matrix} Ht. (cm): & 150 - 155 & 155 - 160 & 160 - 165 & 165 - 170 & 170 - 175 & 175 - 180 & 180 - 185 No. of workers & 6 & 12 & 18 & 20 & 13 & 8 & 6 \end{matrix}$

(i) Determine the cumulative frequencies.

(ii) Draw the 'less than' cumulative frequency curve on graph paper. Use 2 cm = 5 cm height on one axis and 2 cm = 10workers on the other.

Open in App

Solution

We plot the points (155, 6), (160, 18), (165, 36), (170, 56), (175, 69),

(180, 77) and (185, 83) on the graph and join them in free hand to obtain an ogive.

Suggest Corrections

Similar questions

Use graph paper for this question.

The table given below shows the monthly wages of some factory workers.

(i) Using the table, calculate the cumalative frequencies of workers.

(ii) Draw a cumulative frequency curve.

Use 2 cm = Rs. 500, starting the origin at Rs. 6500 on x-axis, and 2 cm = 10 workers on thr y -axis.

$\begin{matrix} Wages (in Rs.) & 6500 - 7000 & 7000 - 7500 & 7500 - 8000 & 8000 - 8500 & 8500 - 9000 & 9000 - 9500 & 9500 - 10000 No. of workers & 10 & 18 & 22 & 25 & 17 & 10 & 8 \end{matrix}$

The following table shows the distribution of the height of a group of factory workers.

Height

(cm)

$150 - 155$

$155 - 160$

$160 - 165$

$165 - 170$

$170 - 175$

$175 - 180$

$180 - 185$

No. of workers

$6$

$12$

$18$

$20$

$13$

$8$

$6$

Determine the cumulative frequencies.

The following table shows the distribution of the height of a group of factory workers.

(cm)

$150 - 155$

$155 - 160$

$160 - 165$

$165 - 170$

$170 - 175$

$175 - 180$

$180 - 185$

_{No. of workers}

$6$

$12$

$18$

$20$

$13$

$8$

$6$

Determine the Cumulative frequencies.

Q. Question 1
The following distribution gives the daily income of 50 workers of a factory.

\begin{matrix} D a i l y i n c o m e (i n R s) & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 N u m b e r o f w o r k e r s & 12 & 14 & 8 & 6 & 10 \end{matrix}

Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.

Q. The frequency distribution of the diameters of neem trees, measured 1 metre above the ground, is shown.

Diameter (in cm)	Number of trees
Below 25	0
Below 50	26
Below 75	68
Below 100	203
Below 125	215
Below 150	220

Prepare the frequency distribution . Draw a less-than type and a more-than type cumulative frequency curve on the same graph paper. Also, find the median.

Join BYJU'S Learning Program

We plot the points (155, 6), (160, 18), (165, 36), (170, 56), (175, 69), (180, 77) and (185, 83) on the graph and join them in free hand to obtain an ogive.

We plot the points (155, 6), (160, 18), (165, 36), (170, 56), (175, 69),

(180, 77) and (185, 83) on the graph and join them in free hand to obtain an ogive.