Statistics questions for CBSE X

Run classes 0–15,15–30,30–45,45–60,60–75,75–90 have frequencies 5,7,4,8,8,3. Find the lower limit of the median class.

Heights(cm) classes120–130,130–140,140–150,150–160,160–170 have frequencies2,8,12,20,8. Estimate the median.

Less-than cumulative frequencies for marks below 10,20,30,40,50,60 are 3,12,27,57,75,80. Find the modal class.

Daily-wage classes (₹) 100–120,120–140,140–160,160–180,180–200,200–220,220–240 have frequencies 10,15,20,22,18,12,13. Estimate the grouped modal wage, to two decimals.

Less-than cumulative student-weight frequencies are below 38 kg:0, below 40:3, below 42:5, below 44:9, below 46:14, below 48:28, below 50:32, below 52:35. Find the modal class.

Classes 0–10,10–20,20–30,30–40,40–50,50–60,60–70,70–80 have frequencies 5,8,7,12,28,20,10,10. Estimate the mode to two decimals.

Height classes 120–130,130–140,140–150,150–160,160–170 cm have frequencies 2,8,12,20,8. Estimate the median height.

Using the empirical relation, mean:median=9:8. Find median:mode.