Question

The following frequency distribution shows the distance (in metres) thrown by 68 students in a Javelin throw competition. Distance (in m) 0–10 10–20 20–30 30–40 40–50 50–60 60–70 Number of students 4 5 13 20 14 8 4 Draw a less than type Ogive for the given data and find the median distance thrown using this curve.

Answer 1

Answer-
Less Than            No. of cumulative students
      10                                   4
     20                                   5
     30                                   13
     40                                   20
     50                                   14
     60                                   8
     70                                   4

Now

Less Than            No. of cumulative students
      10                                   4
     20                                   9
     30                                   22
     40                                   42
     50                                   56
     60                                   64
     70                                   68

Median distance is value of X that corresponds to cumulative frequency
∑∫i = 68
so N = 68
N/2 = 68/2 = 34
We draw a parallel line to X-axis where
no. of student = 34 m
Where line intersect curve at X-axis, it is median,
Median distance = 36 m
For details see attached graph

Answer 2

Answer:

Step-by-step explanation:

Median distance is value of x that corresponds to

Cumulative frequency N/2 = 68/2 = 34

Therefore, Median distance = 36 m